102200100200110 has 128 divisors (see below), whose sum is σ = 208513714544640. Its totient is φ = 35729472729600.

The previous prime is 102200100200089. The next prime is 102200100200113. The reversal of 102200100200110 is 11002001002201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200100200113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3870176527 + ... + 3870202933.

It is an arithmetic number, because the mean of its divisors is an integer number (1629013394880).

Almost surely, 2^{102200100200110} is an apocalyptic number.

102200100200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102200100200110 is an abundant number, since it is smaller than the sum of its proper divisors (106313614344530).

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

102200100200110 is a wasteful number, since it uses less digits than its factorization.

102200100200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33842.

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

Adding to 102200100200110 its reverse (11002001002201), we get a palindrome (113202101202311).

The spelling of 102200100200110 in words is "one hundred two trillion, two hundred billion, one hundred million, two hundred thousand, one hundred ten".