102001032000 has 1120 divisors, whose sum is σ = 437258764800. Its totient is φ = 22992076800.

The previous prime is 102001031987. The next prime is 102001032061. The reversal of 102001032000 is 230100201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×102001032000³ (a number of 34 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 512567901 + ... + 512568099.

Almost surely, 2^102001032000 is an apocalyptic number.

102001032000 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 102001032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218629382400).

102001032000 is an abundant number, since it is smaller than the sum of its proper divisors (335257732800).

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

102001032000 is a wasteful number, since it uses less digits than its factorization.

102001032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102001032000 its reverse (230100201), we get a palindrome (102231132201).

The spelling of 102001032000 in words is "one hundred two billion, one million, thirty-two thousand".