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101211120210012 = 223167191376970157
BaseRepresentation
bin10111000000110100001100…
…110111100001000001011100
3111021100200120222122211122020
4113000310030313201001130
5101231220333233210022
6555131425144020140
730214155624105531
oct2700641467410134
9437320528584566
10101211120210012
112a28143887667a
12b427487461650
134462224526977
141adc90417cd88
15ba7b0089235c
hex5c0d0cde105c

101211120210012 has 96 divisors (see below), whose sum is σ = 238884016250880. Its totient is φ = 33350119457280.

The previous prime is 101211120209971. The next prime is 101211120210019. The reversal of 101211120210012 is 210012021112101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101211120209973 and 101211120210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211120210019) 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, 1442602438 + ... + 1442672594.

It is an arithmetic number, because the mean of its divisors is an integer number (2488375169280).

Almost surely, 2101211120210012 is an apocalyptic number.

101211120210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211120210012 is an abundant number, since it is smaller than the sum of its proper divisors (137672896040868).

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

101211120210012 is a wasteful number, since it uses less digits than its factorization.

101211120210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74291 (or 74289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211120210012 its reverse (210012021112101), we get a palindrome (311223141322113).

The spelling of 101211120210012 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 167 191 334 382 501 573 668 764 1002 1146 2004 2292 3769 7538 11307 15076 22614 31897 45228 63794 70157 95691 127588 140314 191382 210471 280628 382764 420942 629423 719879 841884 1258846 1439758 1888269 2159637 2517692 2879516 3776538 4319274 7553076 8638548 11716219 13399987 23432438 26799974 35148657 40199961 46864876 53599948 70297314 80399922 120219793 140594628 160799844 240439586 264421733 360659379 480879172 528843466 721318758 793265199 1057686932 1442637516 1586530398 2237797829 3173060796 4475595658 6713393487 8951191316 13426786974 26853573948 44158429411 50504551003 88316858822 101009102006 132475288233 151513653009 176633717644 202018204012 264950576466 303027306018 529901152932 606054612036 8434260017501 16868520035002 25302780052503 33737040070004 50605560105006 101211120210012