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122021010002100 = 223521159626712943
BaseRepresentation
bin11011101111101000111010…
…111101001101000010110100
3121000001002112222122120120110
4123233220322331031002310
5111443143012030031400
61111303402251103020
734462504243565526
oct3357507275150264
9530032488576513
10122021010002100
11359749020795a0
12118285a5441a70
1353116bb698641
14221bbc3dd7a16
15e190a6da8e50
hex6efa3af4d0b4

122021010002100 has 144 divisors (see below), whose sum is σ = 391670521482240. Its totient is φ = 29079480508800.

The previous prime is 122021010002083. The next prime is 122021010002113. The reversal of 122021010002100 is 1200010120221.

122021010002100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313161772 + ... + 313551171.

It is an arithmetic number, because the mean of its divisors is an integer number (2719934176960).

Almost surely, 2122021010002100 is an apocalyptic number.

122021010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021010002100 is an abundant number, since it is smaller than the sum of its proper divisors (269649511480140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122021010002100 is a wasteful number, since it uses less digits than its factorization.

122021010002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626713030 (or 626713023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122021010002100 its reverse (1200010120221), we get a palindrome (123221020122321).

The spelling of 122021010002100 in words is "one hundred twenty-two trillion, twenty-one billion, ten million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 59 60 66 75 100 110 118 132 150 165 177 220 236 275 295 300 330 354 550 590 649 660 708 825 885 1100 1180 1298 1475 1650 1770 1947 2596 2950 3245 3300 3540 3894 4425 5900 6490 7788 8850 9735 12980 16225 17700 19470 32450 38940 48675 64900 97350 194700 626712943 1253425886 1880138829 2506851772 3133564715 3760277658 6267129430 6893842373 7520555316 9400694145 12534258860 13787684746 15667823575 18801388290 20681527119 27575369492 31335647150 34469211865 36976063637 37602776580 41363054238 47003470725 62671294300 68938423730 73952127274 82726108476 94006941450 103407635595 110928190911 137876847460 147904254548 172346059325 184880318185 188013882900 206815271190 221856381822 344692118650 369760636370 406736700007 413630542380 443712763644 517038177975 554640954555 689384237300 739521272740 813473400014 924401590925 1034076355950 1109281909110 1220210100021 1626946800028 1848803181850 2033683500035 2068152711900 2218563818220 2440420200042 2773204772775 3697606363700 4067367000070 4880840400084 5546409545550 6101050500105 8134734000140 10168417500175 11092819091100 12202101000210 20336835000350 24404202000420 30505252500525 40673670000700 61010505001050 122021010002100