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100211210202120 = 23351153805389939
BaseRepresentation
bin10110110010010000111101…
…100101100010110000001000
3111010211002122112120111010020
4112302100331211202300020
5101113330024302431440
6553044221110220440
730052010131220253
oct2662207545426010
9433732575514106
10100211210202120
1129a26376727126
12b2a572b654720
1343bbb51aa95c4
141aa6369a8009a
15b8bacbea53d0
hex5b243d962c08

100211210202120 has 128 divisors (see below), whose sum is σ = 300935081174400. Its totient is φ = 26696200126464.

The previous prime is 100211210202107. The next prime is 100211210202143. The reversal of 100211210202120 is 21202012112001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100211210202120.

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, 1114168111 + ... + 1114258049.

It is an arithmetic number, because the mean of its divisors is an integer number (2351055321675).

Almost surely, 2100211210202120 is an apocalyptic number.

100211210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211210202120 is an abundant number, since it is smaller than the sum of its proper divisors (200723870972280).

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

100211210202120 is a wasteful number, since it uses less digits than its factorization.

100211210202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99159 (or 99155 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100211210202120 its reverse (21202012112001), we get a palindrome (121413222314121).

The spelling of 100211210202120 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1153 2306 3459 4612 5765 6918 8053 9224 11530 13836 16106 17295 23060 24159 27672 32212 34590 40265 46120 48318 64424 69180 80530 89939 96636 120795 138360 161060 179878 193272 241590 269817 322120 359756 449695 483180 539634 719512 899390 966360 1079268 1349085 1798780 2158536 2698170 3597560 5396340 9285109 10792680 18570218 27855327 37140436 46425545 55710654 74280872 92851090 103699667 111421308 139276635 185702180 207399334 222842616 278553270 311099001 371404360 414798668 518498335 557106540 622198002 724278767 829597336 1036996670 1114213080 1244396004 1448557534 1555495005 2073993340 2172836301 2488792008 2897115068 3110990010 3621393835 4147986680 4345672602 5794230136 6221980020 7242787670 8691345204 10864181505 12443960040 14485575340 17382690408 21728363010 28971150680 43456726020 86913452040 835093418351 1670186836702 2505280255053 3340373673404 4175467091755 5010560510106 6680747346808 8350934183510 10021121020212 12526401275265 16701868367020 20042242040424 25052802550530 33403736734040 50105605101060 100211210202120