102032000010000 has 300 divisors, whose sum is σ = 357311683560832. Its totient is φ = 27171090144000.

The previous prime is 102032000009911. The next prime is 102032000010037. The reversal of 102032000010000 is 10000230201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64650297 + ... + 66209703.

Almost surely, 2^{102032000010000} is an apocalyptic number.

102032000010000 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 102032000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178655841780416).

102032000010000 is an abundant number, since it is smaller than the sum of its proper divisors (255279683550832).

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

102032000010000 is a wasteful number, since it uses less digits than its factorization.

102032000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560168 (or 1560144 counting only the distinct ones).

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

Adding to 102032000010000 its reverse (10000230201), we get a palindrome (102042000240201).

The spelling of 102032000010000 in words is "one hundred two trillion, thirty-two billion, ten thousand".