100213312110 has 128 divisors (see below), whose sum is σ = 249666084864. Its totient is φ = 25728675840.

The previous prime is 100213312103. The next prime is 100213312127. The reversal of 100213312110 is 11213312001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100213312110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21825915 + ... + 21830505.

It is an arithmetic number, because the mean of its divisors is an integer number (1950516288).

Almost surely, 2^100213312110 is an apocalyptic number.

100213312110 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 100213312110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124833042432).

100213312110 is an abundant number, since it is smaller than the sum of its proper divisors (149452772754).

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

100213312110 is a wasteful number, since it uses less digits than its factorization.

100213312110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100213312110 its reverse (11213312001), we get a palindrome (111426624111).

The spelling of 100213312110 in words is "one hundred billion, two hundred thirteen million, three hundred twelve thousand, one hundred ten".