122111112120201 has 24 divisors (see below), whose sum is σ = 181172216564040. Its totient is φ = 79197414149376.

The previous prime is 122111112120167. The next prime is 122111112120323. The reversal of 122111112120201 is 102021211111221.

It is a happy number.

122111112120201 is a `hidden beast` number, since 1 + 221 + 11 + 112 + 120 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28803626343801 + 93307485776400 = 5366901^2 + 9659580^2 .

It is a de Polignac number, because none of the positive numbers 2^k-122111112120201 is a prime.

It is a super-2 number, since 2×122111112120201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111112124201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19972950 + ... + 25360223.

It is an arithmetic number, because the mean of its divisors is an integer number (7548842356835).

Almost surely, 2^{122111112120201} is an apocalyptic number.

It is an amenable number.

122111112120201 is a deficient number, since it is larger than the sum of its proper divisors (59061104443839).

122111112120201 is a wasteful number, since it uses less digits than its factorization.

122111112120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45341305 (or 45341302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122111112120201 its reverse (102021211111221), we get a palindrome (224132323231422).

The spelling of 122111112120201 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty thousand, two hundred one".