100021102100 has 72 divisors (see below), whose sum is σ = 219918840960. Its totient is φ = 39479431680.

The previous prime is 100021102061. The next prime is 100021102123. The reversal of 100021102100 is 1201120001.

It is a congruent number.

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, 23405564 + ... + 23409836.

Almost surely, 2^100021102100 is an apocalyptic number.

100021102100 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 100021102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109959420480).

100021102100 is an abundant number, since it is smaller than the sum of its proper divisors (119897738860).

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

100021102100 is a wasteful number, since it uses less digits than its factorization.

100021102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329 (or 7322 counting only the distinct ones).

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

Adding to 100021102100 its reverse (1201120001), we get a palindrome (101222222101).

The spelling of 100021102100 in words is "one hundred billion, twenty-one million, one hundred two thousand, one hundred".