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101002220200020 = 22352576604799173
BaseRepresentation
bin10110111101110001101001…
…011101001110000001010100
3111020121201101101102210122010
4112331301221131032001110
5101214310021332400040
6554451440203504220
730163112113241526
oct2675615135160124
9436551341383563
10101002220200020
112a20088a1a9217
12b3b2aa7228070
1344486123965b9
141ad2768073a16
15ba2475de2e80
hex5bdc6974e054

101002220200020 has 96 divisors (see below), whose sum is σ = 283913791193088. Its totient is φ = 26828447383552.

The previous prime is 101002220199997. The next prime is 101002220200031. The reversal of 101002220200020 is 20002022200101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101002220199969 and 101002220200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018395154 + ... + 1018494326.

It is an arithmetic number, because the mean of its divisors is an integer number (2957435324928).

Almost surely, 2101002220200020 is an apocalyptic number.

101002220200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002220200020 is an abundant number, since it is smaller than the sum of its proper divisors (182911570993068).

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

101002220200020 is a wasteful number, since it uses less digits than its factorization.

101002220200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165489 (or 165487 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101002220200020 its reverse (20002022200101), we get a palindrome (121004242400121).

The spelling of 101002220200020 in words is "one hundred one trillion, two billion, two hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 257 514 771 1028 1285 1542 2570 3084 3855 5140 7710 15420 66047 99173 132094 198141 198346 264188 297519 330235 396282 396692 495865 595038 660470 792564 990705 991730 1190076 1320940 1487595 1981410 1983460 2975190 3962820 5950380 16974079 25487461 33948158 50922237 50974922 67896316 76462383 84870395 101844474 101949844 127437305 152924766 169740790 203688948 254611185 254874610 305849532 339481580 382311915 509222370 509749220 764623830 1018444740 1529247660 6550079131 13100158262 19650237393 26200316524 32750395655 39300474786 65500791310 78600949572 98251186965 131001582620 196502373930 393004747860 1683370336667 3366740673334 5050111010001 6733481346668 8416851683335 10100222020002 16833703366670 20200444040004 25250555050005 33667406733340 50501110100010 101002220200020