102013202200 has 384 divisors, whose sum is σ = 314968590720. Its totient is φ = 29808230400.

The previous prime is 102013202173. The next prime is 102013202219. The reversal of 102013202200 is 2202310201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16395090 + ... + 16401310.

It is an arithmetic number, because the mean of its divisors is an integer number (820230705).

Almost surely, 2^102013202200 is an apocalyptic number.

102013202200 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 102013202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157484295360).

102013202200 is an abundant number, since it is smaller than the sum of its proper divisors (212955388520).

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

102013202200 is a wasteful number, since it uses less digits than its factorization.

102013202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102013202200 its reverse (2202310201), we get a palindrome (104215512401).

The spelling of 102013202200 in words is "one hundred two billion, thirteen million, two hundred two thousand, two hundred".