100310222100 has 432 divisors, whose sum is σ = 344265090624. Its totient is φ = 22448025600.

The previous prime is 100310222093. The next prime is 100310222149. The reversal of 100310222100 is 1222013001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32704767 + ... + 32707833.

It is an arithmetic number, because the mean of its divisors is an integer number (796909932).

Almost surely, 2^100310222100 is an apocalyptic number.

100310222100 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 100310222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172132545312).

100310222100 is an abundant number, since it is smaller than the sum of its proper divisors (243954868524).

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

100310222100 is a wasteful number, since it uses less digits than its factorization.

100310222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100310222100 its reverse (1222013001), we get a palindrome (101532235101).

The spelling of 100310222100 in words is "one hundred billion, three hundred ten million, two hundred twenty-two thousand, one hundred".