100112313210 has 512 divisors, whose sum is σ = 319798886400. Its totient is φ = 19483656192.

The previous prime is 100112313193. The next prime is 100112313239. The reversal of 100112313210 is 12313211001.

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 100112313210.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 222967066 + ... + 222967514.

It is an arithmetic number, because the mean of its divisors is an integer number (624607200).

Almost surely, 2^100112313210 is an apocalyptic number.

100112313210 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 100112313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159899443200).

100112313210 is an abundant number, since it is smaller than the sum of its proper divisors (219686573190).

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

100112313210 is a wasteful number, since it uses less digits than its factorization.

100112313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622.

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

Adding to 100112313210 its reverse (12313211001), we get a palindrome (112425524211).

The spelling of 100112313210 in words is "one hundred billion, one hundred twelve million, three hundred thirteen thousand, two hundred ten".