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212100120011001 = 33719922742299867
BaseRepresentation
bin110000001110011101101000…
…010011110110000011111001
31000210222120111001011200202110
4300032131220103312003321
5210300022021210323001
62031033241110522533
762450504461354035
oct6016355023660371
91023876431150673
10212100120011001
11616441793422a2
121b956511066449
139146c562ba111
143a539b45831c5
15197c326a033d6
hexc0e7684f60f9

212100120011001 has 32 divisors (see below), whose sum is σ = 293188845081600. Its totient is φ = 136284077071296.

The previous prime is 212100120010991. The next prime is 212100120011047. The reversal of 212100120011001 is 100110021001212.

212100120011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212100120011001 - 210 = 212100120009977 is a prime.

It is a super-2 number, since 2×2121001200110012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212100120011701) 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, 16135731 + ... + 26164136.

It is an arithmetic number, because the mean of its divisors is an integer number (9162151408800).

Almost surely, 2212100120011001 is an apocalyptic number.

It is an amenable number.

212100120011001 is a deficient number, since it is larger than the sum of its proper divisors (81088725070599).

212100120011001 is a wasteful number, since it uses less digits than its factorization.

212100120011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42300333.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212100120011001 its reverse (100110021001212), we get a palindrome (312210141012213).

The spelling of 212100120011001 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty million, eleven thousand, one".

Divisors: 1 3 37 111 199 227 597 681 7363 8399 22089 25197 45173 135519 1671401 5014203 42299867 126899601 1565095079 4695285237 8417673533 9602069809 25253020599 28806209427 311453920721 355276582933 934361762163 1065829748799 1910811891991 5732435675973 70700040003667 212100120011001