100210012100 has 72 divisors (see below), whose sum is σ = 238417032000. Its totient is φ = 36256809600.

The previous prime is 100210012087. The next prime is 100210012129. The reversal of 100210012100 is 1210012001.

100210012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9995 + ... + 447794.

Almost surely, 2^100210012100 is an apocalyptic number.

100210012100 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 100210012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119208516000).

100210012100 is an abundant number, since it is smaller than the sum of its proper divisors (138207019900).

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

100210012100 is a wasteful number, since it uses less digits than its factorization.

100210012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458013 (or 458006 counting only the distinct ones).

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

Adding to 100210012100 its reverse (1210012001), we get a palindrome (101420024101).

Subtracting from 100210012100 its reverse (1210012001), we obtain a palindrome (99000000099).

The spelling of 100210012100 in words is "one hundred billion, two hundred ten million, twelve thousand, one hundred".