102200110100200 has 384 divisors, whose sum is σ = 279135134208000. Its totient is φ = 34068698265600.

The previous prime is 102200110100131. The next prime is 102200110100261. The reversal of 102200110100200 is 2001011002201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24223773691 + ... + 24223777909.

It is an arithmetic number, because the mean of its divisors is an integer number (726914412000).

Almost surely, 2^{102200110100200} is an apocalyptic number.

102200110100200 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 102200110100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139567567104000).

102200110100200 is an abundant number, since it is smaller than the sum of its proper divisors (176935024107800).

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

102200110100200 is a wasteful number, since it uses less digits than its factorization.

102200110100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102200110100200 its reverse (2001011002201), we get a palindrome (104201121102401).

The spelling of 102200110100200 in words is "one hundred two trillion, two hundred billion, one hundred ten million, one hundred thousand, two hundred".