101112110101101 has 16 divisors (see below), whose sum is σ = 148528320153408. Its totient is φ = 60673333392000.

The previous prime is 101112110101049. The next prime is 101112110101109. The reversal of 101112110101101 is 101101011211101.

It is not a de Polignac number, because 101112110101101 - 2³⁵ = 101077750362733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112110101109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15168330016 + ... + 15168336681.

It is an arithmetic number, because the mean of its divisors is an integer number (9283020009588).

Almost surely, 2^{101112110101101} is an apocalyptic number.

101112110101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112110101101 is a deficient number, since it is larger than the sum of its proper divisors (47416210052307).

101112110101101 is a wasteful number, since it uses less digits than its factorization.

101112110101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30336666812.

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

Adding to 101112110101101 its reverse (101101011211101), we get a palindrome (202213121312202).

The spelling of 101112110101101 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, one hundred one thousand, one hundred one".