1012112112101 has 16 divisors (see below), whose sum is σ = 1026776919168. Its totient is φ = 997544040000.

The previous prime is 1012112112091. The next prime is 1012112112131.

1012112112101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1012112112101 - 2¹⁰ = 1012112111077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012112112131) by changing a digit.

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, 37892051 + ... + 37918751.

It is an arithmetic number, because the mean of its divisors is an integer number (64173557448).

Almost surely, 2^{1012112112101} is an apocalyptic number.

It is an amenable number.

1012112112101 is a deficient number, since it is larger than the sum of its proper divisors (14664807067).

1012112112101 is a wasteful number, since it uses less digits than its factorization.

1012112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28492.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 1012112112101 in words is "one trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred one".