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102010122202021 = 11311015801510581
BaseRepresentation
bin10111001100011100010101…
…000110001110101110100101
3111101012001221210212112000221
4113030130111012032232211
5101332313212240431041
61000542445253404341
730325662632014345
oct2714342506165645
9441161853775027
10102010122202021
112a55a282648180
12b5362b36396b1
1344bc6897b2a67
141b2945db54d25
15bbd7b62482d1
hex5cc71518eba5

102010122202021 has 32 divisors (see below), whose sum is σ = 116031156452352. Its totient is φ = 88840920000000.

The previous prime is 102010122202013. The next prime is 102010122202039. The reversal of 102010122202021 is 120202221010201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102010122202021 - 23 = 102010122202013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102010122201986 and 102010122202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010122202321) 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, 199536951 + ... + 200047531.

It is an arithmetic number, because the mean of its divisors is an integer number (3625973639136).

Almost surely, 2102010122202021 is an apocalyptic number.

102010122202021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102010122202021 is a deficient number, since it is larger than the sum of its proper divisors (14021034250331).

102010122202021 is a wasteful number, since it uses less digits than its factorization.

102010122202021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516525.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102010122202021 its reverse (120202221010201), we get a palindrome (222212343212222).

The spelling of 102010122202021 in words is "one hundred two trillion, ten billion, one hundred twenty-two million, two hundred two thousand, twenty-one".

Divisors: 1 11 31 101 341 1111 3131 5801 34441 63811 179831 510581 585901 1978141 5616391 6444911 15828011 18162931 51568681 174108121 199792241 567255491 1598629111 2961880381 17584920221 32580684191 91818291811 299149918481 1010001209921 3290649103291 9273647472911 102010122202021