100021122200100 has 144 divisors (see below), whose sum is σ = 290290643779136. Its totient is φ = 26589777984000.

The previous prime is 100021122200039. The next prime is 100021122200123. The reversal of 100021122200100 is 1002221120001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207111915 + ... + 207594285.

Almost surely, 2^{100021122200100} is an apocalyptic number.

100021122200100 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 100021122200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145145321889568).

100021122200100 is an abundant number, since it is smaller than the sum of its proper divisors (190269521579036).

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

100021122200100 is a wasteful number, since it uses less digits than its factorization.

100021122200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484526 (or 484519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021122200100 its reverse (1002221120001), we get a palindrome (101023343320101).

The spelling of 100021122200100 in words is "one hundred trillion, twenty-one billion, one hundred twenty-two million, two hundred thousand, one hundred".