100001222221200 has 60 divisors (see below), whose sum is σ = 320337248519088. Its totient is φ = 26666992592000.

The previous prime is 100001222221189. The next prime is 100001222221213. The reversal of 100001222221200 is 2122222100001.

100001222221200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 100001222221200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41667174726 + ... + 41667177125.

Almost surely, 2^{100001222221200} is an apocalyptic number.

100001222221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001222221200 is an abundant number, since it is smaller than the sum of its proper divisors (220336026297888).

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

100001222221200 is a wasteful number, since it uses less digits than its factorization.

100001222221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83334351872 (or 83334351861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100001222221200 its reverse (2122222100001), we get a palindrome (102123444321201).

The spelling of 100001222221200 in words is "one hundred trillion, one billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".