102001120221120 has 112 divisors (see below), whose sum is σ = 342903765974688. Its totient is φ = 25600281149440.

The previous prime is 102001120221109. The next prime is 102001120221163. The reversal of 102001120221120 is 21122021100201.

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 102001120221120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3125018001 + ... + 3125050640.

Almost surely, 2^{102001120221120} is an apocalyptic number.

102001120221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001120221120 is an abundant number, since it is smaller than the sum of its proper divisors (240902645753568).

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

102001120221120 is a wasteful number, since it uses less digits than its factorization.

102001120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250068678 (or 6250068668 counting only the distinct ones).

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

Adding to 102001120221120 its reverse (21122021100201), we get a palindrome (123123141321321).

The spelling of 102001120221120 in words is "one hundred two trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".