102112021010010 has 128 divisors (see below), whose sum is σ = 271486545378048. Its totient is φ = 24373923840000.

The previous prime is 102112021009967. The next prime is 102112021010023. The reversal of 102112021010010 is 10010120211201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2430439 + ... + 14495898.

It is an arithmetic number, because the mean of its divisors is an integer number (2120988635766).

Almost surely, 2^{102112021010010} is an apocalyptic number.

102112021010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112021010010 is an abundant number, since it is smaller than the sum of its proper divisors (169374524368038).

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

102112021010010 is a wasteful number, since it uses less digits than its factorization.

102112021010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16926640.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112021010010 its reverse (10010120211201), we get a palindrome (112122141221211).

The spelling of 102112021010010 in words is "one hundred two trillion, one hundred twelve billion, twenty-one million, ten thousand, ten".