122000012100 has 216 divisors, whose sum is σ = 407585662848. Its totient is φ = 30416256000.

The previous prime is 122000012093. The next prime is 122000012143. The reversal of 122000012100 is 1210000221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2283897 + ... + 2336703.

Almost surely, 2^122000012100 is an apocalyptic number.

122000012100 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 122000012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203792831424).

122000012100 is an abundant number, since it is smaller than the sum of its proper divisors (285585650748).

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

122000012100 is a wasteful number, since it uses less digits than its factorization.

122000012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52995 (or 52985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122000012100 its reverse (1210000221), we get a palindrome (123210012321).

It can be divided in two parts, 1220000 and 12100, that added together give a square (1232100 = 1110²).

The spelling of 122000012100 in words is "one hundred twenty-two billion, twelve thousand, one hundred".