122100013113330 has 192 divisors, whose sum is σ = 357987644478720. Its totient is φ = 26076975966720.

The previous prime is 122100013113307. The next prime is 122100013113347. The reversal of 122100013113330 is 33311310001221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122100013113297 and 122100013113306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4578969 + ... + 16283948.

It is an arithmetic number, because the mean of its divisors is an integer number (1864518981660).

Almost surely, 2^{122100013113330} is an apocalyptic number.

122100013113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122100013113330 is an abundant number, since it is smaller than the sum of its proper divisors (235887631365390).

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

122100013113330 is a wasteful number, since it uses less digits than its factorization.

122100013113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20863025 (or 20862994 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 122100013113330 its reverse (33311310001221), we get a palindrome (155411323114551).

The spelling of 122100013113330 in words is "one hundred twenty-two trillion, one hundred billion, thirteen million, one hundred thirteen thousand, three hundred thirty".