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101020222202121 = 32372231409965491
BaseRepresentation
bin10110111110000010011010…
…011101011010000100001001
3111020200102211222101021000200
4112332002122131122010021
5101220103403340431441
6554504014401122413
730164320164602625
oct2676023235320411
9436612758337020
10101020222202121
112a208487928902
12b3b6490029409
13444a220b48251
141ad3594c62185
15ba2b7b5447b6
hex5be09a75a109

101020222202121 has 48 divisors (see below), whose sum is σ = 150640850680320. Its totient is φ = 65186424483840.

The previous prime is 101020222202063. The next prime is 101020222202131. The reversal of 101020222202121 is 121202222020101.

It is a happy number.

101020222202121 is a `hidden beast` number, since 101 + 0 + 20 + 222 + 202 + 121 = 666.

It is not a de Polignac number, because 101020222202121 - 213 = 101020222193929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020222202094 and 101020222202103.

It is not an unprimeable number, because it can be changed into a prime (101020222202131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104148186 + ... + 105113676.

It is an arithmetic number, because the mean of its divisors is an integer number (3138351055840).

Almost surely, 2101020222202121 is an apocalyptic number.

It is an amenable number.

101020222202121 is a deficient number, since it is larger than the sum of its proper divisors (49620628478199).

101020222202121 is a wasteful number, since it uses less digits than its factorization.

101020222202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967166 (or 967163 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101020222202121 its reverse (121202222020101), we get a palindrome (222222444222222).

The spelling of 101020222202121 in words is "one hundred one trillion, twenty billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 223 333 669 1409 2007 4227 8251 12681 24753 52133 74259 156399 314207 469197 942621 965491 2827863 2896473 8689419 11625659 34876977 35723167 104630931 107169501 215304493 321508503 645913479 1360376819 1937740437 4081130457 7966266241 12243391371 23898798723 50333942303 71696396169 151001826909 303364030637 453005480727 910092091911 2730276275733 11224469133569 33673407400707 101020222202121