102001021011000 has 128 divisors (see below), whose sum is σ = 353603539598400. Its totient is φ = 27200272262400.

The previous prime is 102001021010989. The next prime is 102001021011049. The reversal of 102001021011000 is 110120100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1888880797 + ... + 1888934796.

Almost surely, 2^{102001021011000} is an apocalyptic number.

102001021011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001021011000 is an abundant number, since it is smaller than the sum of its proper divisors (251602518587400).

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

102001021011000 is a wasteful number, since it uses less digits than its factorization.

102001021011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777815623 (or 3777815603 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102001021011000 its reverse (110120100201), we get a palindrome (102111141111201).

The spelling of 102001021011000 in words is "one hundred two trillion, one billion, twenty-one million, eleven thousand".