100210011200 has 84 divisors (see below), whose sum is σ = 265546949220. Its totient is φ = 37000611840.

The previous prime is 100210011179. The next prime is 100210011221. The reversal of 100210011200 is 2110012001.

It is an interprime number because it is at equal distance from previous prime (100210011179) and next prime (100210011221).

It can be written as a sum of positive squares in 6 ways, for example, as 9916973056 + 90293038144 = 99584^2 + 300488^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2388095 + ... + 2429694.

It is an arithmetic number, because the mean of its divisors is an integer number (3161273205).

Almost surely, 2^100210011200 is an apocalyptic number.

100210011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210011200 is an abundant number, since it is smaller than the sum of its proper divisors (165336938020).

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

100210011200 is a wasteful number, since it uses less digits than its factorization.

100210011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817824 (or 4817809 counting only the distinct ones).

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

Adding to 100210011200 its reverse (2110012001), we get a palindrome (102320023201).

The spelling of 100210011200 in words is "one hundred billion, two hundred ten million, eleven thousand, two hundred".