122112011022100 has 72 divisors (see below), whose sum is σ = 291934536931296. Its totient is φ = 43964720400000.

The previous prime is 122112011022091. The next prime is 122112011022101. The reversal of 122112011022100 is 1220110211221.

It is a super-2 number, since 2×122112011022100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112011022101) 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, 549447906 + ... + 549670105.

It is an arithmetic number, because the mean of its divisors is an integer number (4054646346268).

Almost surely, 2^{122112011022100} is an apocalyptic number.

122112011022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112011022100 is an abundant number, since it is smaller than the sum of its proper divisors (169822525909196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122112011022100 is a wasteful number, since it uses less digits than its factorization.

122112011022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099118137 (or 1099118130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112011022100 its reverse (1220110211221), we get a palindrome (123332121233321).

The spelling of 122112011022100 in words is "one hundred twenty-two trillion, one hundred twelve billion, eleven million, twenty-two thousand, one hundred".