102001120221000 has 1024 divisors, whose sum is σ = 438840874967040. Its totient is φ = 19035855360000.

The previous prime is 102001120220971. The next prime is 102001120221043. The reversal of 102001120221000 is 122021100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 255 ways as a sum of consecutive naturals, for example, 110651995 + ... + 111570005.

It is an arithmetic number, because the mean of its divisors is an integer number (428555541960).

Almost surely, 2^{102001120221000} is an apocalyptic number.

102001120221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001120221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219420437483520).

102001120221000 is an abundant number, since it is smaller than the sum of its proper divisors (336839754746040).

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

102001120221000 is a wasteful number, since it uses less digits than its factorization.

102001120221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918103 (or 918089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102001120221000 its reverse (122021100201), we get a palindrome (102123141321201).

The spelling of 102001120221000 in words is "one hundred two trillion, one billion, one hundred twenty million, two hundred twenty-one thousand".