102014133302000 has 160 divisors (see below), whose sum is σ = 248888154138624. Its totient is φ = 40439581728000.

The previous prime is 102014133301981. The next prime is 102014133302021. The reversal of 102014133302000 is 203331410201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 194403977 + ... + 194928023.

Almost surely, 2^{102014133302000} is an apocalyptic number.

102014133302000 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 102014133302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124444077069312).

102014133302000 is an abundant number, since it is smaller than the sum of its proper divisors (146874020836624).

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

102014133302000 is a wasteful number, since it uses less digits than its factorization.

102014133302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524944 (or 524928 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102014133302000 its reverse (203331410201), we get a palindrome (102217464712201).

The spelling of 102014133302000 in words is "one hundred two trillion, fourteen billion, one hundred thirty-three million, three hundred two thousand".