122131012100 has 72 divisors (see below), whose sum is σ = 269965721088. Its totient is φ = 47947737600.

The previous prime is 122131012097. The next prime is 122131012123. The reversal of 122131012100 is 1210131221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1544732 + ... + 1621868.

It is an arithmetic number, because the mean of its divisors is an integer number (3749523904).

Almost surely, 2^122131012100 is an apocalyptic number.

122131012100 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 122131012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134982860544).

122131012100 is an abundant number, since it is smaller than the sum of its proper divisors (147834708988).

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

122131012100 is a wasteful number, since it uses less digits than its factorization.

122131012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77445 (or 77438 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122131012100 its reverse (1210131221), we get a palindrome (123341143321).

The spelling of 122131012100 in words is "one hundred twenty-two billion, one hundred thirty-one million, twelve thousand, one hundred".