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102212022222121 = 78910194110611627
BaseRepresentation
bin10111001111011000010111…
…010001101011110100101001
3111101220101002120101020010011
4113033120113101223310221
5101344120210142101441
61001215315455451521
730346401123613510
oct2717302721536451
9441811076336104
10102212022222121
112a627969978619
12b56945b526ba1
134505724641986
141b35134307677
15bc3b813d1581
hex5cf61746bd29

102212022222121 has 64 divisors (see below), whose sum is σ = 119608622369280. Its totient is φ = 85543729920000.

The previous prime is 102212022222083. The next prime is 102212022222139. The reversal of 102212022222121 is 121222220212201.

It is a cyclic number.

It is not a de Polignac number, because 102212022222121 - 219 = 102212021697833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212022222092 and 102212022222101.

It is not an unprimeable number, because it can be changed into a prime (102212022222421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62822385310 + ... + 62822386936.

It is an arithmetic number, because the mean of its divisors is an integer number (1868884724520).

Almost surely, 2102212022222121 is an apocalyptic number.

It is an amenable number.

102212022222121 is a deficient number, since it is larger than the sum of its proper divisors (17396600147159).

102212022222121 is a wasteful number, since it uses less digits than its factorization.

102212022222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 102212022222121 its reverse (121222220212201), we get a palindrome (223434242434322).

The spelling of 102212022222121 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 89 101 623 707 941 1061 1627 6587 7427 8989 11389 62923 83749 94429 95041 107161 144803 164327 586243 661003 665287 750127 998401 1013621 1150289 1531007 1726247 6988807 8458649 9537329 10717049 12083729 14625103 59210543 66761303 88857689 100838501 102375721 136259623 153635983 154631707 174350947 622003823 705869507 953817361 1075451881 1082421949 1220456629 1624398427 8974626589 11370788989 13762221923 15517234283 62822386123 96335553461 108620639981 144571460003 164064241127 1012000220021 1148449687889 14601717460303 102212022222121