102200112220200 has 192 divisors, whose sum is σ = 317408639904000. Its totient is φ = 27202804761600.

The previous prime is 102200112220181. The next prime is 102200112220223. The reversal of 102200112220200 is 2022211002201.

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 102200112220200.

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, 702097026 + ... + 702242574.

It is an arithmetic number, because the mean of its divisors is an integer number (1653169999500).

Almost surely, 2^{102200112220200} is an apocalyptic number.

102200112220200 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 102200112220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158704319952000).

102200112220200 is an abundant number, since it is smaller than the sum of its proper divisors (215208527683800).

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

102200112220200 is a wasteful number, since it uses less digits than its factorization.

102200112220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147732 (or 147723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102200112220200 its reverse (2022211002201), we get a palindrome (104222323222401).

The spelling of 102200112220200 in words is "one hundred two trillion, two hundred billion, one hundred twelve million, two hundred twenty thousand, two hundred".