102200110112112 has 40 divisors (see below), whose sum is σ = 272533626969600. Its totient is φ = 32967777455040.

The previous prime is 102200110112069. The next prime is 102200110112147. The reversal of 102200110112112 is 211211011002201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102200110112091 and 102200110112100.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 34341433362 + ... + 34341436337.

It is an arithmetic number, because the mean of its divisors is an integer number (6813340674240).

Almost surely, 2^{102200110112112} is an apocalyptic number.

102200110112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200110112112 is an abundant number, since it is smaller than the sum of its proper divisors (170333516857488).

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

102200110112112 is a wasteful number, since it uses less digits than its factorization.

102200110112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68682869741 (or 68682869735 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102200110112112 its reverse (211211011002201), we get a palindrome (313411121114313).

The spelling of 102200110112112 in words is "one hundred two trillion, two hundred billion, one hundred ten million, one hundred twelve thousand, one hundred twelve".