100122303300 has 144 divisors (see below), whose sum is σ = 293853067200. Its totient is φ = 26317209600.

The previous prime is 100122303223. The next prime is 100122303317. The reversal of 100122303300 is 3303221001.

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 100122303300.

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, 8832036 + ... + 8843364.

It is an arithmetic number, because the mean of its divisors is an integer number (2040646300).

Almost surely, 2^100122303300 is an apocalyptic number.

100122303300 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 100122303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146926533600).

100122303300 is an abundant number, since it is smaller than the sum of its proper divisors (193730763900).

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

100122303300 is a wasteful number, since it uses less digits than its factorization.

100122303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100122303300 its reverse (3303221001), we get a palindrome (103425524301).

The spelling of 100122303300 in words is "one hundred billion, one hundred twenty-two million, three hundred three thousand, three hundred".