100313222100 has 288 divisors, whose sum is σ = 359838802176. Its totient is φ = 21009715200.

The previous prime is 100313222089. The next prime is 100313222117. The reversal of 100313222100 is 1222313001.

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 100313222100.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3726690 + ... + 3753510.

Almost surely, 2^100313222100 is an apocalyptic number.

100313222100 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 100313222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179919401088).

100313222100 is an abundant number, since it is smaller than the sum of its proper divisors (259525580076).

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

100313222100 is a wasteful number, since it uses less digits than its factorization.

100313222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26995 (or 26988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100313222100 its reverse (1222313001), we get a palindrome (101535535101).

Subtracting from 100313222100 its reverse (1222313001), we obtain a palindrome (99090909099).

The spelling of 100313222100 in words is "one hundred billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred".