100213100 has 72 divisors (see below), whose sum is σ = 236161968. Its totient is φ = 36691200.

The previous prime is 100213073. The next prime is 100213117. The reversal of 100213100 is 1312001.

It is a super-2 number, since 2×100213100² = 20085330823220000, which contains 22 as substring.

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, 203855 + ... + 204345.

Almost surely, 2^100213100 is an apocalyptic number.

100213100 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 100213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118080984).

100213100 is an abundant number, since it is smaller than the sum of its proper divisors (135948868).

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

100213100 is a wasteful number, since it uses less digits than its factorization.

100213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100213100 is about 10010.6493295890. The cubic root of 100213100 is about 464.4883569627.

Adding to 100213100 its reverse (1312001), we get a palindrome (101525101).

The spelling of 100213100 in words is "one hundred million, two hundred thirteen thousand, one hundred".