100222021200 has 480 divisors, whose sum is σ = 374963072256. Its totient is φ = 22410362880.

The previous prime is 100222021129. The next prime is 100222021213. The reversal of 100222021200 is 2120222001.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84007804 + ... + 84008996.

Almost surely, 2^100222021200 is an apocalyptic number.

100222021200 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 100222021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187481536128).

100222021200 is an abundant number, since it is smaller than the sum of its proper divisors (274741051056).

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

100222021200 is a wasteful number, since it uses less digits than its factorization.

100222021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100222021200 its reverse (2120222001), we get a palindrome (102342243201).

The spelling of 100222021200 in words is "one hundred billion, two hundred twenty-two million, twenty-one thousand, two hundred".