100221011011200 has 96 divisors (see below), whose sum is σ = 330102955049760. Its totient is φ = 26725602933760.

The previous prime is 100221011011193. The next prime is 100221011011241. The reversal of 100221011011200 is 2110110122001.

It is a tau number, because it is divible by the number of its divisors (96).

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5219834724 + ... + 5219853923.

It is an arithmetic number, because the mean of its divisors is an integer number (3438572448435).

Almost surely, 2^{100221011011200} is an apocalyptic number.

100221011011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221011011200 is an abundant number, since it is smaller than the sum of its proper divisors (229881944038560).

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

100221011011200 is a wasteful number, since it uses less digits than its factorization.

100221011011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439688674 (or 10439688657 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221011011200 its reverse (2110110122001), we get a palindrome (102331121133201).

The spelling of 100221011011200 in words is "one hundred trillion, two hundred twenty-one billion, eleven million, eleven thousand, two hundred".