102102202032000 has 256 divisors, whose sum is σ = 339411667046400. Its totient is φ = 27151407360000.

The previous prime is 102102202031957. The next prime is 102102202032013. The reversal of 102102202032000 is 230202201201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 14269425 + ... + 20194575.

It is an arithmetic number, because the mean of its divisors is an integer number (1325826824400).

Almost surely, 2^{102102202032000} is an apocalyptic number.

102102202032000 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 102102202032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169705833523200).

102102202032000 is an abundant number, since it is smaller than the sum of its proper divisors (237309465014400).

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

102102202032000 is an equidigital number, since it uses as much as digits as its factorization.

102102202032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925542 (or 5925520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102102202032000 its reverse (230202201201), we get a palindrome (102332404233201).

The spelling of 102102202032000 in words is "one hundred two trillion, one hundred two billion, two hundred two million, thirty-two thousand".