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12021010120100 = 2252532268115117
BaseRepresentation
bin1010111011101101110000…
…0010011011110110100100
31120120012022212022210022202
42232323130002123312210
53033423012042320400
641322213101514032
72350326560046662
oct256733402336644
946505285283282
1012021010120100
11391509990a023
121421903b72918
13692765438b07
142d7b6a0c7c32
1515ca626bb4d5
hexaeedc09bda4

12021010120100 has 36 divisors (see below), whose sum is σ = 26577772952724. Its totient is φ = 4717679441280.

The previous prime is 12021010120043. The next prime is 12021010120123. The reversal of 12021010120100 is 102101012021.

It can be written as a sum of positive squares in 6 ways, for example, as 1367066054656 + 10653944065444 = 1169216^2 + 3264038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134052259 + ... + 1134062858.

It is an arithmetic number, because the mean of its divisors is an integer number (738271470909).

Almost surely, 212021010120100 is an apocalyptic number.

12021010120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021010120100 is an abundant number, since it is smaller than the sum of its proper divisors (14556762832624).

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

12021010120100 is a wasteful number, since it uses less digits than its factorization.

12021010120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268115184 (or 2268115177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12021010120100 its reverse (102101012021), we get a palindrome (12123111132121).

The spelling of 12021010120100 in words is "twelve trillion, twenty-one billion, ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 2268115117 4536230234 9072460468 11340575585 22681151170 45362302340 56702877925 113405755850 120210101201 226811511700 240420202402 480840404804 601050506005 1202101012010 2404202024020 3005252530025 6010505060050 12021010120100