1012110112101 has 24 divisors (see below), whose sum is σ = 1485709526560. Its totient is φ = 612408978720.

The previous prime is 1012110112093. The next prime is 1012110112127.

1012110112101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1012110112101 - 2³ = 1012110112093 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 (1012110112141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027470 + ... + 2476863.

Almost surely, 2^{1012110112101} is an apocalyptic number.

1012110112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012110112101 is a deficient number, since it is larger than the sum of its proper divisors (473599414459).

1012110112101 is a wasteful number, since it uses less digits than its factorization.

1012110112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504977 (or 4504966 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1012110 and 112101, that added together give a palindrome (1124211).

The spelling of 1012110112101 in words is "one trillion, twelve billion, one hundred ten million, one hundred twelve thousand, one hundred one".