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102020012210221 = 7614334491228919
BaseRepresentation
bin10111001100100101100010…
…100101100111100000101101
3111101020000111001122222202221
4113030211202211213200231
5101332443441111211341
61000551202510515341
730326463002500450
oct2714454245474055
9441200431588687
10102020012210221
112a563498266776
12b5381b3805b51
1344c05a476b811
141b29b1b445497
15bbdb9462aed1
hex5cc96296782d

102020012210221 has 32 divisors (see below), whose sum is σ = 119044005696000. Its totient is φ = 85622354657280.

The previous prime is 102020012210219. The next prime is 102020012210231. The reversal of 102020012210221 is 122012210020201.

It is a happy number.

It is not a de Polignac number, because 102020012210221 - 21 = 102020012210219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102020012210195 and 102020012210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020012210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82401600 + ... + 83630518.

It is an arithmetic number, because the mean of its divisors is an integer number (3720125178000).

Almost surely, 2102020012210221 is an apocalyptic number.

It is an amenable number.

102020012210221 is a deficient number, since it is larger than the sum of its proper divisors (17023993485779).

102020012210221 is a wasteful number, since it uses less digits than its factorization.

102020012210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229869.

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

Adding to 102020012210221 its reverse (122012210020201), we get a palindrome (224032222230422).

The spelling of 102020012210221 in words is "one hundred two trillion, twenty billion, twelve million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 61 427 433 449 3031 3143 26413 27389 184891 191723 194417 1228919 1360919 8602433 11859437 74964059 83016059 524748413 532121927 551784631 3724853489 3862492417 32459437547 33658862491 227216062829 235612037437 238922745223 1672459216561 14574287458603 102020012210221