100022120221200 has 60 divisors (see below), whose sum is σ = 320404191779088. Its totient is φ = 26672565392000.

The previous prime is 100022120221189. The next prime is 100022120221207. The reversal of 100022120221200 is 2122021220001.

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 100022120221200.

It is not an unprimeable number, because it can be changed into a prime (100022120221207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41675882226 + ... + 41675884625.

Almost surely, 2^{100022120221200} is an apocalyptic number.

100022120221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022120221200 is an abundant number, since it is smaller than the sum of its proper divisors (220382071557888).

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

100022120221200 is a wasteful number, since it uses less digits than its factorization.

100022120221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83351766872 (or 83351766861 counting only the distinct ones).

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

Adding to 100022120221200 its reverse (2122021220001), we get a palindrome (102144141441201).

The spelling of 100022120221200 in words is "one hundred trillion, twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".