100122202000 has 80 divisors (see below), whose sum is σ = 242923170672. Its totient is φ = 39911961600.

The previous prime is 100122201979. The next prime is 100122202087. The reversal of 100122202000 is 202221001.

100122202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 192876544 + 99929325456 = 13888^2 + 316116^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500572 + ... + 671428.

Almost surely, 2^100122202000 is an apocalyptic number.

100122202000 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 100122202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121461585336).

100122202000 is an abundant number, since it is smaller than the sum of its proper divisors (142800968672).

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

100122202000 is a wasteful number, since it uses less digits than its factorization.

100122202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171173 (or 171157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100122202000 its reverse (202221001), we get a palindrome (100324423001).

The spelling of 100122202000 in words is "one hundred billion, one hundred twenty-two million, two hundred two thousand".