122111222200100 has 144 divisors (see below), whose sum is σ = 304126941296640. Its totient is φ = 41688238032000.

The previous prime is 122111222200069. The next prime is 122111222200147. The reversal of 122111222200100 is 1002222111221.

It is a super-2 number, since 2×122111222200100² (a number of 29 digits) contains 22 as substring.

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, 3143045675 + ... + 3143084525.

Almost surely, 2^{122111222200100} is an apocalyptic number.

122111222200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111222200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152063470648320).

122111222200100 is an abundant number, since it is smaller than the sum of its proper divisors (182015719096540).

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

122111222200100 is a wasteful number, since it uses less digits than its factorization.

122111222200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57898 (or 57891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122111222200100 its reverse (1002222111221), we get a palindrome (123113444311321).

The spelling of 122111222200100 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty-two million, two hundred thousand, one hundred".