100221211012200 has 48 divisors (see below), whose sum is σ = 310685754139680. Its totient is φ = 26725656269760.

The previous prime is 100221211012171. The next prime is 100221211012211. The reversal of 100221211012200 is 2210112122001.

It is a super-2 number, since 2×100221211012200² (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 100221211012200.

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 11 ways as a sum of consecutive naturals, for example, 83517675244 + ... + 83517676443.

It is an arithmetic number, because the mean of its divisors is an integer number (6472619877910).

Almost surely, 2^{100221211012200} is an apocalyptic number.

100221211012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221211012200 is an abundant number, since it is smaller than the sum of its proper divisors (210464543127480).

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

100221211012200 is a wasteful number, since it uses less digits than its factorization.

100221211012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167035351706 (or 167035351697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100221211012200 its reverse (2210112122001), we get a palindrome (102431323134201).

The spelling of 100221211012200 in words is "one hundred trillion, two hundred twenty-one billion, two hundred eleven million, twelve thousand, two hundred".