122133101020100 has 18 divisors (see below), whose sum is σ = 265028829213834. Its totient is φ = 48853240408000.

The previous prime is 122133101020079. The next prime is 122133101020237. The reversal of 122133101020100 is 1020101331221.

122133101020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 220719556864 + 121912381463236 = 469808^2 + 11041394^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610665505001 + ... + 610665505200.

It is an arithmetic number, because the mean of its divisors is an integer number (14723823845213).

Almost surely, 2^{122133101020100} is an apocalyptic number.

122133101020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133101020100 is an abundant number, since it is smaller than the sum of its proper divisors (142895728193734).

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

122133101020100 is a wasteful number, since it uses less digits than its factorization.

122133101020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221331010215 (or 1221331010208 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122133101020100 its reverse (1020101331221), we get a palindrome (123153202351321).

The spelling of 122133101020100 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred one million, twenty thousand, one hundred".