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102121101221012 = 221738986320532179
BaseRepresentation
bin10111001110000011101011…
…111101100101110010010100
3111101120200102010110210222122
4113032003223331211302110
5101341123003403033022
61001105441455115112
730340002042062516
oct2716035375456224
9441520363423878
10102121101221012
112a5a2352390795
12b553906212a98
1344c9c94a82033
141b3098ad83bb6
15bc160e27a742
hex5ce0ebf65c94

102121101221012 has 96 divisors (see below), whose sum is σ = 190110378931200. Its totient is φ = 47832623511552.

The previous prime is 102121101221011. The next prime is 102121101221107. The reversal of 102121101221012 is 210122101121201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121101221011) 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, 46866038939 + ... + 46866041117.

It is an arithmetic number, because the mean of its divisors is an integer number (1980316447200).

Almost surely, 2102121101221012 is an apocalyptic number.

It is an amenable number.

102121101221012 is a deficient number, since it is larger than the sum of its proper divisors (87989277710188).

102121101221012 is a wasteful number, since it uses less digits than its factorization.

102121101221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102121101221012 its reverse (210122101121201), we get a palindrome (312243202342213).

The spelling of 102121101221012 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 17 34 68 389 778 863 1556 1726 2053 2179 3452 4106 4358 6613 8212 8716 13226 14671 26452 29342 34901 37043 58684 69802 74086 139604 148172 335707 671414 798617 847631 1342828 1597234 1695262 1771739 1880477 3194468 3390524 3543478 3760954 4473487 5707019 7086956 7521908 8946974 11414038 13576489 14409727 17893948 22828076 27152978 28819454 30119563 31968109 54305956 57638908 60239126 63936218 76049279 120478252 127872436 152098558 304197116 689206471 731505553 1378412942 1463011106 1740186443 2756825884 2926022212 3480372886 3860619281 6960745772 7721238562 11716510007 12435594401 15442477124 23433020014 24871188802 29583169531 46866040028 49742377604 59166339062 65630527777 118332678124 131261055554 262522111108 1501780900309 3003561800618 6007123601236 25530275305253 51060550610506 102121101221012