100021120100 has 144 divisors (see below), whose sum is σ = 251119927296. Its totient is φ = 34175232000.

The previous prime is 100021120099. The next prime is 100021120169. The reversal of 100021120100 is 1021120001.

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, 12207005 + ... + 12215195.

It is an arithmetic number, because the mean of its divisors is an integer number (1743888384).

Almost surely, 2^100021120100 is an apocalyptic number.

100021120100 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 100021120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125559963648).

100021120100 is an abundant number, since it is smaller than the sum of its proper divisors (151098807196).

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

100021120100 is a wasteful number, since it uses less digits than its factorization.

100021120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100021120100 its reverse (1021120001), we get a palindrome (101042240101).

Subtracting from 100021120100 its reverse (1021120001), we obtain a palindrome (99000000099).

The spelling of 100021120100 in words is "one hundred billion, twenty-one million, one hundred twenty thousand, one hundred".