101111141111101 has 48 divisors (see below), whose sum is σ = 111834071661312. Its totient is φ = 91346116055040.

The previous prime is 101111141111063. The next prime is 101111141111111.

It is a happy number.

101111141111101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101111141111101 - 2²⁹ = 101110604240189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111141111111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29248231165 + ... + 29248234621.

It is an arithmetic number, because the mean of its divisors is an integer number (2329876492944).

Almost surely, 2^{101111141111101} is an apocalyptic number.

101111141111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111141111101 is a deficient number, since it is larger than the sum of its proper divisors (10722930550211).

101111141111101 is a wasteful number, since it uses less digits than its factorization.

101111141111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 16.

The spelling of 101111141111101 in words is "one hundred one trillion, one hundred eleven billion, one hundred forty-one million, one hundred eleven thousand, one hundred one".