122112110112001 has 4 divisors (see below), whose sum is σ = 124710240114432. Its totient is φ = 119513980109572.

The previous prime is 122112110111941. The next prime is 122112110112049. The reversal of 122112110112001 is 100211011211221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 122112110112001 - 2²⁷ = 122111975894273 is a prime.

It is a super-2 number, since 2×122112110112001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112110112061) 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 3 ways as a sum of consecutive naturals, for example, 1299065001145 + ... + 1299065001238.

It is an arithmetic number, because the mean of its divisors is an integer number (31177560028608).

Almost surely, 2^{122112110112001} is an apocalyptic number.

It is an amenable number.

122112110112001 is a deficient number, since it is larger than the sum of its proper divisors (2598130002431).

122112110112001 is an equidigital number, since it uses as much as digits as its factorization.

122112110112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598130002430.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 122112110112001 its reverse (100211011211221), we get a palindrome (222323121323222).

The spelling of 122112110112001 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred ten million, one hundred twelve thousand, one".