12101122022100 has 72 divisors (see below), whose sum is σ = 35124441266880. Its totient is φ = 3216656052480.

The previous prime is 12101122022057. The next prime is 12101122022131. The reversal of 12101122022100 is 122022110121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12101122022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64342320 + ... + 64530119.

It is an arithmetic number, because the mean of its divisors is an integer number (487839462040).

Almost surely, 2^{12101122022100} is an apocalyptic number.

12101122022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101122022100 is an abundant number, since it is smaller than the sum of its proper divisors (23023319244780).

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

12101122022100 is a wasteful number, since it uses less digits than its factorization.

12101122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128872769 (or 128872762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12101122022100 its reverse (122022110121), we get a palindrome (12223144132221).

The spelling of 12101122022100 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, twenty-two thousand, one hundred".