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100210102001010 = 232519461127120171
BaseRepresentation
bin10110110010001111111011…
…100010000101110101110010
3111010210222210022022000222200
4112302033323202011311302
5101113320242103013020
6553043515121444030
730051640513526241
oct2662177342056562
9433728708260880
10100210102001010
1129a25958120241
12b2a54804a0616
1343bba06316ac1
141aa62a2808958
15b8ba64a4e590
hex5b23fb885d72

100210102001010 has 96 divisors (see below), whose sum is σ = 274854151091520. Its totient is φ = 25261320182400.

The previous prime is 100210102001003. The next prime is 100210102001039. The reversal of 100210102001010 is 10100201012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100210102000983 and 100210102001001.

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, 62771776 + ... + 64348395.

It is an arithmetic number, because the mean of its divisors is an integer number (2863064073870).

Almost surely, 2100210102001010 is an apocalyptic number.

100210102001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210102001010 is an abundant number, since it is smaller than the sum of its proper divisors (174644049090510).

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

100210102001010 is a wasteful number, since it uses less digits than its factorization.

100210102001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127120664 (or 127120661 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210102001010 its reverse (10100201012001), we get a palindrome (110310303013011).

The spelling of 100210102001010 in words is "one hundred trillion, two hundred ten billion, one hundred two million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 461 570 855 922 1383 1710 2305 2766 4149 4610 6915 8298 8759 13830 17518 20745 26277 41490 43795 52554 78831 87590 131385 157662 262770 394155 788310 127120171 254240342 381360513 635600855 762721026 1144081539 1271201710 1906802565 2288163078 2415283249 3813605130 4830566498 5720407695 7245849747 11440815390 12076416245 14491699494 21737549241 24152832490 36229248735 43475098482 58602398831 72458497470 108687746205 117204797662 175807196493 217375492410 293011994155 351614392986 527421589479 586023988310 879035982465 1054843178958 1113445577789 1758071964930 2226891155578 2637107947395 3340336733367 5274215894790 5567227888945 6680673466734 10021010200101 11134455777890 16701683666835 20042020400202 33403367333670 50105051000505 100210102001010