10102112012101 has 16 divisors (see below), whose sum is σ = 10347046193088. Its totient is φ = 9859750617600.

The previous prime is 10102112012063. The next prime is 10102112012123. The reversal of 10102112012101 is 10121021120101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10102112012101 - 2²⁷ = 10101977794373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102112012141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97654261 + ... + 97757653.

It is an arithmetic number, because the mean of its divisors is an integer number (646690387068).

Almost surely, 2^{10102112012101} is an apocalyptic number.

It is an amenable number.

10102112012101 is a deficient number, since it is larger than the sum of its proper divisors (244934180987).

10102112012101 is a wasteful number, since it uses less digits than its factorization.

10102112012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115812.

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

Adding to 10102112012101 its reverse (10121021120101), we get a palindrome (20223133132202).

The spelling of 10102112012101 in words is "ten trillion, one hundred two billion, one hundred twelve million, twelve thousand, one hundred one".