100201120221120 has 112 divisors (see below), whose sum is σ = 318163259836800. Its totient is φ = 26718223922176.

The previous prime is 100201120221107. The next prime is 100201120221151. The reversal of 100201120221120 is 21122021102001.

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 100201120221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8337139 + ... + 16428941.

It is an arithmetic number, because the mean of its divisors is an integer number (2840743391400).

Almost surely, 2^{100201120221120} is an apocalyptic number.

100201120221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201120221120 is an abundant number, since it is smaller than the sum of its proper divisors (217962139615680).

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

100201120221120 is a wasteful number, since it uses less digits than its factorization.

100201120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104722 (or 8104712 counting only the distinct ones).

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

Adding to 100201120221120 its reverse (21122021102001), we get a palindrome (121323141323121).

The spelling of 100201120221120 in words is "one hundred trillion, two hundred one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".