102200133120 has 160 divisors (see below), whose sum is σ = 335552282208. Its totient is φ = 26516717568.

The previous prime is 102200133071. The next prime is 102200133131. The reversal of 102200133120 is 21331002201.

It is a tau number, because it is divible by the number of its divisors (160).

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 102200133120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104332 + ... + 463988.

Almost surely, 2^102200133120 is an apocalyptic number.

102200133120 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 102200133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167776141104).

102200133120 is an abundant number, since it is smaller than the sum of its proper divisors (233352149088).

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

102200133120 is an equidigital number, since it uses as much as digits as its factorization.

102200133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359720 (or 359704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102200133120 its reverse (21331002201), we get a palindrome (123531135321).

The spelling of 102200133120 in words is "one hundred two billion, two hundred million, one hundred thirty-three thousand, one hundred twenty".