122020211112201 has 48 divisors (see below), whose sum is σ = 183971580241488. Its totient is φ = 77865458112000.

The previous prime is 122020211112169. The next prime is 122020211112227. The reversal of 122020211112201 is 102211112020221.

122020211112201 is a `hidden beast` number, since 1 + 220 + 2 + 0 + 211 + 11 + 220 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6020525912976 + 115999685199225 = 2453676^2 + 10770315^2 .

It is not a de Polignac number, because 122020211112201 - 2⁵ = 122020211112169 is a prime.

It is a super-2 number, since 2×122020211112201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122020211112271) 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, 6273730 + ... + 16834491.

It is an arithmetic number, because the mean of its divisors is an integer number (3832741255031).

Almost surely, 2^{122020211112201} is an apocalyptic number.

It is an amenable number.

122020211112201 is a deficient number, since it is larger than the sum of its proper divisors (61951369129287).

122020211112201 is a wasteful number, since it uses less digits than its factorization.

122020211112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23108522 (or 23108519 counting only the distinct ones).

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

Adding to 122020211112201 its reverse (102211112020221), we get a palindrome (224231323132422).

The spelling of 122020211112201 in words is "one hundred twenty-two trillion, twenty billion, two hundred eleven million, one hundred twelve thousand, two hundred one".