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212121012200121 = 32377956914170987
BaseRepresentation
bin110000001110110001000101…
…100101001110001010111001
31000211001120102001111212101200
4300032301011211032022321
5210300342313110400441
62031051014151004413
762452144266135303
oct6016610545161271
91024046361455350
10212121012200121
116165201a4491a2
121b95a581969709
139148c057850bb
143a549d7150973
15197cb4ac567b6
hexc0ec4594e2b9

212121012200121 has 48 divisors (see below), whose sum is σ = 319221344083200. Its totient is φ = 135611574568704.

The previous prime is 212121012200101. The next prime is 212121012200159. The reversal of 212121012200121 is 121002210121212.

212121012200121 is a `hidden beast` number, since 2 + 121 + 210 + 12 + 200 + 121 = 666.

It is not a de Polignac number, because 212121012200121 - 213 = 212121012191929 is a prime.

It is a super-3 number, since 3×2121210122001213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212121012200094 and 212121012200103.

It is not an unprimeable number, because it can be changed into a prime (212121012200101) 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, 7883190 + ... + 22054176.

It is an arithmetic number, because the mean of its divisors is an integer number (6650444668400).

Almost surely, 2212121012200121 is an apocalyptic number.

It is an amenable number.

212121012200121 is a deficient number, since it is larger than the sum of its proper divisors (107100331883079).

212121012200121 is a wasteful number, since it uses less digits than its factorization.

212121012200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14171678 (or 14171675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121012200121 its reverse (121002210121212), we get a palindrome (333123222321333).

The spelling of 212121012200121 in words is "two hundred twelve trillion, one hundred twenty-one billion, twelve million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 37 79 111 237 333 569 711 1707 2923 5121 8769 21053 26307 44951 63159 134853 189477 404559 1663187 4989561 14170987 14968683 42512961 127538883 524326519 1119507973 1572979557 3358523919 4718938671 8063291603 10075571757 24189874809 41421795001 72569624427 124265385003 298341789311 372796155009 637000036637 895025367933 1911000109911 2685076103799 5733000329733 23569001355569 70707004066707 212121012200121