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212121022110102 = 235762351858351
BaseRepresentation
bin110000001110110001000110…
…001011000001100110010110
31000211001120102202011100100000
4300032301012023001212112
5210300342323130010402
62031051015143232130
762452144446311340
oct6016610613014626
91024046382140300
10212121022110102
1161652024aa7766
121b95a585148646
139148c078449b1
143a549d85b0290
15197cb4ba62c1c
hexc0ec462c1996

212121022110102 has 48 divisors (see below), whose sum is σ = 544705834563072. Its totient is φ = 60606006316200.

The previous prime is 212121022110061. The next prime is 212121022110119. The reversal of 212121022110102 is 201011220121212.

212121022110102 is a `hidden beast` number, since 2 + 121 + 210 + 221 + 10 + 102 = 666.

It is a super-3 number, since 3×2121210221101023 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31175925774 + ... + 31175932577.

It is an arithmetic number, because the mean of its divisors is an integer number (11348038220064).

Almost surely, 2212121022110102 is an apocalyptic number.

212121022110102 is an abundant number, since it is smaller than the sum of its proper divisors (332584812452970).

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

212121022110102 is an equidigital number, since it uses as much as digits as its factorization.

212121022110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62351858375 (or 62351858363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121022110102 its reverse (201011220121212), we get a palindrome (413132242231314).

The spelling of 212121022110102 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty-two million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 62351858351 124703716702 187055575053 374111150106 436463008457 561166725159 872926016914 1122333450318 1309389025371 1683500175477 2618778050742 3367000350954 3928167076113 5050500526431 7856334152226 10101001052862 11784501228339 15151501579293 23569002456678 30303003158586 35353503685017 70707007370034 106060511055051 212121022110102