102130113000 has 128 divisors (see below), whose sum is σ = 320785920000. Its totient is φ = 27051795200.

The previous prime is 102130112999. The next prime is 102130113119. The reversal of 102130113000 is 311031201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332761 + ... + 561239.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140000).

Almost surely, 2^102130113000 is an apocalyptic number.

102130113000 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 102130113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960000).

102130113000 is an abundant number, since it is smaller than the sum of its proper divisors (218655807000).

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

102130113000 is a wasteful number, since it uses less digits than its factorization.

102130113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228652 (or 228638 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102130113000 its reverse (311031201), we get a palindrome (102441144201).

It can be divided in two parts, 1021301 and 13000, that added together give a palindrome (1034301).

The spelling of 102130113000 in words is "one hundred two billion, one hundred thirty million, one hundred thirteen thousand".