100122121100 has 72 divisors (see below), whose sum is σ = 227278765728. Its totient is φ = 38211712000.

The previous prime is 100122121097. The next prime is 100122121111. The reversal of 100122121100 is 1121221001.

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, 868022 + ... + 976578.

It is an arithmetic number, because the mean of its divisors is an integer number (3156649524).

Almost surely, 2^100122121100 is an apocalyptic number.

100122121100 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 100122121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113639382864).

100122121100 is an abundant number, since it is smaller than the sum of its proper divisors (127156644628).

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

100122121100 is a wasteful number, since it uses less digits than its factorization.

100122121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108995 (or 108988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100122121100 its reverse (1121221001), we get a palindrome (101243342101).

Subtracting from 100122121100 its reverse (1121221001), we obtain a palindrome (99000900099).

The spelling of 100122121100 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".