102112112112010 has 256 divisors, whose sum is σ = 249275839067136. Its totient is φ = 29085091200000.

The previous prime is 102112112112001. The next prime is 102112112112013. The reversal of 102112112112010 is 10211211211201.

It is not an unprimeable number, because it can be changed into a prime (102112112112013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10313308060 + ... + 10313317960.

It is an arithmetic number, because the mean of its divisors is an integer number (973733746356).

Almost surely, 2^{102112112112010} is an apocalyptic number.

102112112112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112112112010 is an abundant number, since it is smaller than the sum of its proper divisors (147163726955126).

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

102112112112010 is an equidigital number, since it uses as much as digits as its factorization.

102112112112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10040 counting only the distinct ones).

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

Adding to 102112112112010 its reverse (10211211211201), we get a palindrome (112323323323211).

It can be divided in two parts, 1021121 and 12112010, that added together give a palindrome (13133131).

The spelling of 102112112112010 in words is "one hundred two trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, ten".