211122012120201 has 144 divisors (see below), whose sum is σ = 393195797152704. Its totient is φ = 108119236555008.

The previous prime is 211122012120091. The next prime is 211122012120223. The reversal of 211122012120201 is 102021210221112.

211122012120201 is a `hidden beast` number, since 2 + 111 + 220 + 12 + 120 + 201 = 666.

It is not a de Polignac number, because 211122012120201 - 2²⁵ = 211121978565769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211122012120241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97994886 + ... + 100126128.

It is an arithmetic number, because the mean of its divisors is an integer number (2730526369116).

Almost surely, 2^{211122012120201} is an apocalyptic number.

211122012120201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211122012120201 is a deficient number, since it is larger than the sum of its proper divisors (182073785032503).

211122012120201 is a wasteful number, since it uses less digits than its factorization.

211122012120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131780 (or 2131770 counting only the distinct ones).

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

Adding to 211122012120201 its reverse (102021210221112), we get a palindrome (313143222341313).

The spelling of 211122012120201 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, one hundred twenty thousand, two hundred one".