100020221131200 has 336 divisors, whose sum is σ = 345525706427520. Its totient is φ = 25260585799680.

The previous prime is 100020221131153. The next prime is 100020221131249. The reversal of 100020221131200 is 2131122020001.

It is a super-2 number, since 2×100020221131200² (a number of 29 digits) contains 22 as substring.

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 100020221131200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 302892582 + ... + 303222618.

Almost surely, 2^{100020221131200} is an apocalyptic number.

100020221131200 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 100020221131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172762853213760).

100020221131200 is an abundant number, since it is smaller than the sum of its proper divisors (245505485296320).

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

100020221131200 is a wasteful number, since it uses less digits than its factorization.

100020221131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333404 (or 333389 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100020221131200 its reverse (2131122020001), we get a palindrome (102151343151201).

The spelling of 100020221131200 in words is "one hundred trillion, twenty billion, two hundred twenty-one million, one hundred thirty-one thousand, two hundred".