102235585530000 has 400 divisors, whose sum is σ = 356472140600576. Its totient is φ = 25090974720000.

The previous prime is 102235585529993. The next prime is 102235585530019. The reversal of 102235585530000 is 35585532201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×102235585530000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131041065 + ... + 131818935.

Almost surely, 2^{102235585530000} is an apocalyptic number.

102235585530000 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 102235585530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178236070300288).

102235585530000 is an abundant number, since it is smaller than the sum of its proper divisors (254236555070576).

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

102235585530000 is a wasteful number, since it uses less digits than its factorization.

102235585530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778252 (or 778231 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 102235585530000 in words is "one hundred two trillion, two hundred thirty-five billion, five hundred eighty-five million, five hundred thirty thousand".