122021012211201 has 40 divisors (see below), whose sum is σ = 190442097324864. Its totient is φ = 77712870359520.

The previous prime is 122021012211181. The next prime is 122021012211221. The reversal of 122021012211201 is 102112210120221.

122021012211201 is a `hidden beast` number, since 1 + 220 + 2 + 101 + 221 + 120 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (122021012211181) and next prime (122021012211221).

It is not a de Polignac number, because 122021012211201 - 2²⁵ = 122020978656769 is a prime.

It is a super-3 number, since 3×122021012211201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122021012211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39604935 + ... + 42574556.

Almost surely, 2^{122021012211201} is an apocalyptic number.

It is an amenable number.

122021012211201 is a deficient number, since it is larger than the sum of its proper divisors (68421085113663).

122021012211201 is an equidigital number, since it uses as much as digits as its factorization.

122021012211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82180323 (or 82180314 counting only the distinct ones).

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

Adding to 122021012211201 its reverse (102112210120221), we get a palindrome (224133222331422).

The spelling of 122021012211201 in words is "one hundred twenty-two trillion, twenty-one billion, twelve million, two hundred eleven thousand, two hundred one".