102130033200 has 240 divisors, whose sum is σ = 363689389056. Its totient is φ = 24328627200.

The previous prime is 102130033183. The next prime is 102130033217. The reversal of 102130033200 is 2330031201.

It is an interprime number because it is at equal distance from previous prime (102130033183) and next prime (102130033217).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102130033200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378007 + ... + 589193.

Almost surely, 2^102130033200 is an apocalyptic number.

102130033200 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 102130033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181844694528).

102130033200 is an abundant number, since it is smaller than the sum of its proper divisors (261559355856).

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

102130033200 is a wasteful number, since it uses less digits than its factorization.

102130033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211252 (or 211241 counting only the distinct ones).

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

Adding to 102130033200 its reverse (2330031201), we get a palindrome (104460064401).

The spelling of 102130033200 in words is "one hundred two billion, one hundred thirty million, thirty-three thousand, two hundred".