102159950200 has 192 divisors, whose sum is σ = 296361388800. Its totient is φ = 31817318400.

The previous prime is 102159950183. The next prime is 102159950209. The reversal of 102159950200 is 2059951201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102159950209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37990456 + ... + 37993144.

It is an arithmetic number, because the mean of its divisors is an integer number (1543548900).

Almost surely, 2^102159950200 is an apocalyptic number.

102159950200 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 102159950200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148180694400).

102159950200 is an abundant number, since it is smaller than the sum of its proper divisors (194201438600).

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

102159950200 is a wasteful number, since it uses less digits than its factorization.

102159950200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The spelling of 102159950200 in words is "one hundred two billion, one hundred fifty-nine million, nine hundred fifty thousand, two hundred".