100020211200 has 2160 divisors, whose sum is σ = 473746553280. Its totient is φ = 19941949440.

The previous prime is 100020211183. The next prime is 100020211283. The reversal of 100020211200 is 2112020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2128089577 + ... + 2128089623.

It is an arithmetic number, because the mean of its divisors is an integer number (219327108).

Almost surely, 2^100020211200 is an apocalyptic number.

100020211200 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 100020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236873276640).

100020211200 is an abundant number, since it is smaller than the sum of its proper divisors (373726342080).

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

100020211200 is a wasteful number, since it uses less digits than its factorization.

100020211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020211200 its reverse (2112020001), we get a palindrome (102132231201).

The spelling of 100020211200 in words is "one hundred billion, twenty million, two hundred eleven thousand, two hundred".