100210132110 has 96 divisors (see below), whose sum is σ = 265313000736. Its totient is φ = 24205420800.

The previous prime is 100210132093. The next prime is 100210132129. The reversal of 100210132110 is 11231012001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955680 + ... + 1055340.

It is an arithmetic number, because the mean of its divisors is an integer number (2763677091).

Almost surely, 2^100210132110 is an apocalyptic number.

100210132110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210132110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132656500368).

100210132110 is an abundant number, since it is smaller than the sum of its proper divisors (165102868626).

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

100210132110 is a wasteful number, since it uses less digits than its factorization.

100210132110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99970 (or 99959 counting only the distinct ones).

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

Adding to 100210132110 its reverse (11231012001), we get a palindrome (111441144111).

The spelling of 100210132110 in words is "one hundred billion, two hundred ten million, one hundred thirty-two thousand, one hundred ten".