102002321100032 has 36 divisors (see below), whose sum is σ = 215583030679716. Its totient is φ = 48001092280320.

The previous prime is 102002321100019. The next prime is 102002321100037. The reversal of 102002321100032 is 230001123200201.

It can be written as a sum of positive squares in 2 ways, for example, as 82937011864576 + 19065309235456 = 9106976^2 + 4366384^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002321100037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11719012319 + ... + 11719021022.

It is an arithmetic number, because the mean of its divisors is an integer number (5988417518881).

Almost surely, 2^{102002321100032} is an apocalyptic number.

It is an amenable number.

102002321100032 is an abundant number, since it is smaller than the sum of its proper divisors (113580709579684).

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

102002321100032 is an equidigital number, since it uses as much as digits as its factorization.

102002321100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23438033374 (or 23438033360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102002321100032 its reverse (230001123200201), we get a palindrome (332003444300233).

The spelling of 102002321100032 in words is "one hundred two trillion, two billion, three hundred twenty-one million, one hundred thousand, thirty-two".