102133200032 has 48 divisors (see below), whose sum is σ = 213296813352. Its totient is φ = 47973703680.

The previous prime is 102133199911. The next prime is 102133200079. The reversal of 102133200032 is 230002331201.

It can be written as a sum of positive squares in 4 ways, for example, as 90261790096 + 11871409936 = 300436^2 + 108956^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120788 + ... + 467820.

Almost surely, 2^102133200032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106648406676).

102133200032 is an abundant number, since it is smaller than the sum of its proper divisors (111163613320).

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

102133200032 is a wasteful number, since it uses less digits than its factorization.

102133200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347601 (or 347593 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102133200032 its reverse (230002331201), we get a palindrome (332135531233).

The spelling of 102133200032 in words is "one hundred two billion, one hundred thirty-three million, two hundred thousand, thirty-two".