102002133030000 has 400 divisors, whose sum is σ = 377747047451136. Its totient is φ = 23226111360000.

The previous prime is 102002133029999. The next prime is 102002133030043. The reversal of 102002133030000 is 30331200201.

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

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 79 ways as a sum of consecutive naturals, for example, 54306570 + ... + 56153430.

Almost surely, 2^{102002133030000} is an apocalyptic number.

102002133030000 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 102002133030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188873523725568).

102002133030000 is an abundant number, since it is smaller than the sum of its proper divisors (275744914421136).

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

102002133030000 is a wasteful number, since it uses less digits than its factorization.

102002133030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847162 (or 1847141 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102002133030000 its reverse (30331200201), we get a palindrome (102032464230201).

The spelling of 102002133030000 in words is "one hundred two trillion, two billion, one hundred thirty-three million, thirty thousand".