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2121011101020 = 2235721792317589
BaseRepresentation
bin11110110111010110000…
…111001111110101011100
321111202200220120201022110
4132313112013033311130
5234222312320213040
64302213512514020
7306144426614610
oct36672607176534
97452626521273
102121011101020
11748574521089
122a30963ab910
1312501a074666
147492c1d3340
153a28bb08980
hex1edd61cfd5c

2121011101020 has 96 divisors (see below), whose sum is σ = 6790353292800. Its totient is φ = 484579839744.

The previous prime is 2121011100931. The next prime is 2121011101021. The reversal of 2121011101020 is 201011101212.

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 = 2121011100987 and 2121011101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121011101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243615 + ... + 2073974.

It is an arithmetic number, because the mean of its divisors is an integer number (70732846800).

Almost surely, 22121011101020 is an apocalyptic number.

2121011101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121011101020 is an abundant number, since it is smaller than the sum of its proper divisors (4669342191780).

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

2121011101020 is a wasteful number, since it uses less digits than its factorization.

2121011101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319787 (or 2319785 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2121011101020 its reverse (201011101212), we get a palindrome (2322022202232).

The spelling of 2121011101020 in words is "two trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2179 4358 6537 8716 10895 13074 15253 21790 26148 30506 32685 43580 45759 61012 65370 76265 91518 130740 152530 183036 228795 305060 457590 915180 2317589 4635178 6952767 9270356 11587945 13905534 16223123 23175890 27811068 32446246 34763835 46351780 48669369 64892492 69527670 81115615 97338738 139055340 162231230 194677476 243346845 324462460 486693690 973387380 5050026431 10100052862 15150079293 20200105724 25250132155 30300158586 35350185017 50500264310 60600317172 70700370034 75750396465 101000528620 106050555051 141400740068 151500792930 176750925085 212101110102 303001585860 353501850170 424202220204 530252775255 707003700340 1060505550510 2121011101020