102002333130112 has 64 divisors (see below), whose sum is σ = 204769546882560. Its totient is φ = 50609232161280.

The previous prime is 102002333130109. The next prime is 102002333130119. The reversal of 102002333130112 is 211031333200201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102002333130112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002333130119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347671993 + ... + 347965255.

It is an arithmetic number, because the mean of its divisors is an integer number (3199524170040).

Almost surely, 2^{102002333130112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002333130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102384773441280).

102002333130112 is an abundant number, since it is smaller than the sum of its proper divisors (102767213752448).

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

102002333130112 is a wasteful number, since it uses less digits than its factorization.

102002333130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314151 (or 314139 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102002333130112 its reverse (211031333200201), we get a palindrome (313033666330313).

The spelling of 102002333130112 in words is "one hundred two trillion, two billion, three hundred thirty-three million, one hundred thirty thousand, one hundred twelve".