101112101110101 has 32 divisors (see below), whose sum is σ = 140748293468160. Its totient is φ = 64491668841600.

The previous prime is 101112101110099. The next prime is 101112101110117. The reversal of 101112101110101 is 101011101211101.

It is not a de Polignac number, because 101112101110101 - 2¹ = 101112101110099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112101110121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58838406 + ... + 60532488.

It is an arithmetic number, because the mean of its divisors is an integer number (4398384170880).

Almost surely, 2^{101112101110101} is an apocalyptic number.

It is an amenable number.

101112101110101 is a deficient number, since it is larger than the sum of its proper divisors (39636192358059).

101112101110101 is a wasteful number, since it uses less digits than its factorization.

101112101110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701417.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101112101110101 its reverse (101011101211101), we get a palindrome (202123202321202).

The spelling of 101112101110101 in words is "one hundred one trillion, one hundred twelve billion, one hundred one million, one hundred ten thousand, one hundred one".