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12101021002116 = 2232607677817979
BaseRepresentation
bin1011000000010111110100…
…0011101110100110000100
31120211211211221220201122100
42300011331003232212010
53041230342334031431
641423044324432100
72356161403243404
oct260057503564604
946754757821570
1012101021002116
113946017978a02
121435313548630
1369a1768b0a97
142db99a496804
1515eb96ad94e6
hexb017d0ee984

12101021002116 has 72 divisors (see below), whose sum is σ = 30684379864320. Its totient is φ = 4021075146816.

The previous prime is 12101021002043. The next prime is 12101021002117. The reversal of 12101021002116 is 61120012010121.

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

It is not an unprimeable number, because it can be changed into a prime (12101021002117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14384815 + ... + 15202793.

It is an arithmetic number, because the mean of its divisors is an integer number (426171942560).

Almost surely, 212101021002116 is an apocalyptic number.

It is an amenable number.

12101021002116 is an abundant number, since it is smaller than the sum of its proper divisors (18583358862204).

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

12101021002116 is a wasteful number, since it uses less digits than its factorization.

12101021002116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819273 (or 819268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12101021002116 its reverse (61120012010121), we get a palindrome (73221033012237).

The spelling of 12101021002116 in words is "twelve trillion, one hundred one billion, twenty-one million, two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 607 677 1214 1354 1821 2031 2428 2708 3642 4062 5463 6093 7284 8124 10926 12186 21852 24372 410939 817979 821878 1232817 1635958 1643756 2453937 2465634 3271916 3698451 4907874 4931268 7361811 7396902 9815748 14723622 14793804 29447244 496513253 553771783 993026506 1107543566 1489539759 1661315349 1986053012 2215087132 2979079518 3322630698 4468619277 4983946047 5958159036 6645261396 8937238554 9967892094 17874477108 19935784188 336139472281 672278944562 1008418416843 1344557889124 2016836833686 3025255250529 4033673667372 6050510501058 12101021002116