122102211020100 has 144 divisors (see below), whose sum is σ = 365141598067008. Its totient is φ = 31478786127360.

The previous prime is 122102211020059. The next prime is 122102211020117. The reversal of 122102211020100 is 1020112201221.

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 122102211020100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33289782 + ... + 36775181.

It is an arithmetic number, because the mean of its divisors is an integer number (2535705542132).

Almost surely, 2^{122102211020100} is an apocalyptic number.

122102211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102211020100 is an abundant number, since it is smaller than the sum of its proper divisors (243039387046908).

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

122102211020100 is a wasteful number, since it uses less digits than its factorization.

122102211020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70065174 (or 70065167 counting only the distinct ones).

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

Adding to 122102211020100 its reverse (1020112201221), we get a palindrome (123122323221321).

The spelling of 122102211020100 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred eleven million, twenty thousand, one hundred".