102112100001010 has 192 divisors, whose sum is σ = 209526034608000. Its totient is φ = 35529725952000.

The previous prime is 102112100000993. The next prime is 102112100001031. The reversal of 102112100001010 is 10100001211201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5657484466 + ... + 5657502514.

It is an arithmetic number, because the mean of its divisors is an integer number (1091281430250).

Almost surely, 2^{102112100001010} is an apocalyptic number.

102112100001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112100001010 is an abundant number, since it is smaller than the sum of its proper divisors (107413934606990).

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

102112100001010 is a wasteful number, since it uses less digits than its factorization.

102112100001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18729 (or 18698 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102112100001010 its reverse (10100001211201), we get a palindrome (112212101212211).

The spelling of 102112100001010 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, one thousand, ten".