1010102112105 has 16 divisors (see below), whose sum is σ = 1686431352960. Its totient is φ = 515298468608.

The previous prime is 1010102112073. The next prime is 1010102112113. The reversal of 1010102112105 is 5012112010101.

It is a cyclic number.

It is not a de Polignac number, because 1010102112105 - 2⁵ = 1010102112073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463915760 + ... + 1463916449.

It is an arithmetic number, because the mean of its divisors is an integer number (105401959560).

Almost surely, 2^{1010102112105} is an apocalyptic number.

1010102112105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010102112105 is a deficient number, since it is larger than the sum of its proper divisors (676329240855).

1010102112105 is a wasteful number, since it uses less digits than its factorization.

1010102112105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927832240.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1010102112105 its reverse (5012112010101), we get a palindrome (6022214122206).

The spelling of 1010102112105 in words is "one trillion, ten billion, one hundred two million, one hundred twelve thousand, one hundred five".