122131142100 has 108 divisors (see below), whose sum is σ = 417614520960. Its totient is φ = 29607547200.

The previous prime is 122131142099. The next prime is 122131142137. The reversal of 122131142100 is 1241131221.

122131142100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6158340 + ... + 6178139.

It is an arithmetic number, because the mean of its divisors is an integer number (3866801120).

Almost surely, 2^122131142100 is an apocalyptic number.

122131142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131142100 is an abundant number, since it is smaller than the sum of its proper divisors (295483378860).

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

122131142100 is a wasteful number, since it uses less digits than its factorization.

122131142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336510 (or 12336500 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122131142100 its reverse (1241131221), we get a palindrome (123372273321).

The spelling of 122131142100 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred forty-two thousand, one hundred".