122100022120100 has 144 divisors (see below), whose sum is σ = 271748689626960. Its totient is φ = 47607825408000.

The previous prime is 122100022120073. The next prime is 122100022120127. The reversal of 122100022120100 is 1021220001221.

It is an interprime number because it is at equal distance from previous prime (122100022120073) and next prime (122100022120127).

It can be written as a sum of positive squares in 24 ways, for example, as 59763691567204 + 62336330552896 = 7730698^2 + 7895336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209152214 + ... + 209735186.

It is an arithmetic number, because the mean of its divisors is an integer number (1887143677965).

Almost surely, 2^{122100022120100} is an apocalyptic number.

122100022120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100022120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135874344813480).

122100022120100 is an abundant number, since it is smaller than the sum of its proper divisors (149648667506860).

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

122100022120100 is a wasteful number, since it uses less digits than its factorization.

122100022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583410 (or 583403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122100022120100 its reverse (1021220001221), we get a palindrome (123121242121321).

The spelling of 122100022120100 in words is "one hundred twenty-two trillion, one hundred billion, twenty-two million, one hundred twenty thousand, one hundred".