100213011200 has 108 divisors (see below), whose sum is σ = 249331130328. Its totient is φ = 39877017600.

The previous prime is 100213011161. The next prime is 100213011319. The reversal of 100213011200 is 2110312001.

It is a super-2 number, since 2×100213011200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194635 + ... + 1275765.

Almost surely, 2^100213011200 is an apocalyptic number.

100213011200 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 100213011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124665565164).

100213011200 is an abundant number, since it is smaller than the sum of its proper divisors (149118119128).

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

100213011200 is an equidigital number, since it uses as much as digits as its factorization.

100213011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81350 (or 81331 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100213011200 its reverse (2110312001), we get a palindrome (102323323201).

The spelling of 100213011200 in words is "one hundred billion, two hundred thirteen million, eleven thousand, two hundred".