122210121200100 has 72 divisors (see below), whose sum is σ = 353595887164800. Its totient is φ = 32589248618880.

The previous prime is 122210121200081. The next prime is 122210121200129. The reversal of 122210121200100 is 1002121012221.

122210121200100 is digitally balanced in base 4, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122210121200100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111700309 + ... + 112789091.

It is an arithmetic number, because the mean of its divisors is an integer number (4911053988400).

Almost surely, 2^{122210121200100} is an apocalyptic number.

122210121200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210121200100 is an abundant number, since it is smaller than the sum of its proper divisors (231385765964700).

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

122210121200100 is a wasteful number, since it uses less digits than its factorization.

122210121200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462949 (or 1462942 counting only the distinct ones).

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

Adding to 122210121200100 its reverse (1002121012221), we get a palindrome (123212242212321).

The spelling of 122210121200100 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred twenty-one million, two hundred thousand, one hundred".