102112121212010 has 256 divisors, whose sum is σ = 230212422494208. Its totient is φ = 31749503385600.

The previous prime is 102112121211983. The next prime is 102112121212033. The reversal of 102112121212010 is 10212121211201.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102112121212010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49068774170 + ... + 49068776250.

It is an arithmetic number, because the mean of its divisors is an integer number (899267275368).

Almost surely, 2^{102112121212010} is an apocalyptic number.

102112121212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112121212010 is an abundant number, since it is smaller than the sum of its proper divisors (128100301282198).

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

102112121212010 is a wasteful number, since it uses less digits than its factorization.

102112121212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102112121212010 its reverse (10212121211201), we get a palindrome (112324242423211).

The spelling of 102112121212010 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, ten".