102112121010010 has 32 divisors (see below), whose sum is σ = 194614282920960. Its totient is φ = 38442093034752.

The previous prime is 102112121009953. The next prime is 102112121010017. The reversal of 102112121010010 is 10010121211201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102112121010017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72037527 + ... + 73441333.

It is an arithmetic number, because the mean of its divisors is an integer number (6081696341280).

Almost surely, 2^{102112121010010} is an apocalyptic number.

102112121010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112121010010 is a deficient number, since it is larger than the sum of its proper divisors (92502161910950).

102112121010010 is a wasteful number, since it uses less digits than its factorization.

102112121010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831710.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102112121010010 its reverse (10010121211201), we get a palindrome (112122242221211).

The spelling of 102112121010010 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, ten".