122100112100 has 36 divisors (see below), whose sum is σ = 269956448244. Its totient is φ = 47918532480.

The previous prime is 122100112067. The next prime is 122100112103. The reversal of 122100112100 is 1211001221.

It can be written as a sum of positive squares in 6 ways, for example, as 8822093476 + 113278018624 = 93926^2 + 336568^2 .

It is not an unprimeable number, because it can be changed into a prime (122100112103) 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 11 ways as a sum of consecutive naturals, for example, 11513579 + ... + 11524178.

It is an arithmetic number, because the mean of its divisors is an integer number (7498790229).

Almost surely, 2^122100112100 is an apocalyptic number.

122100112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100112100 is an abundant number, since it is smaller than the sum of its proper divisors (147856336144).

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

122100112100 is a wasteful number, since it uses less digits than its factorization.

122100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23037824 (or 23037817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122100112100 its reverse (1211001221), we get a palindrome (123311113321).

The spelling of 122100112100 in words is "one hundred twenty-two billion, one hundred million, one hundred twelve thousand, one hundred".