101112344541 has 48 divisors (see below), whose sum is σ = 166596917760. Its totient is φ = 58542082560.

The previous prime is 101112344533. The next prime is 101112344587. The reversal of 101112344541 is 145443211101.

It is a happy number.

101112344541 is a `hidden beast` number, since 1 + 0 + 1 + 112 + 3 + 4 + 4 + 541 = 666.

It is not a de Polignac number, because 101112344541 - 2³ = 101112344533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112344041) 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, 6976140 + ... + 6990618.

It is an arithmetic number, because the mean of its divisors is an integer number (3470769120).

Almost surely, 2^101112344541 is an apocalyptic number.

It is an amenable number.

101112344541 is a deficient number, since it is larger than the sum of its proper divisors (65484573219).

101112344541 is a wasteful number, since it uses less digits than its factorization.

101112344541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18026 (or 18023 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101112344541 its reverse (145443211101), we get a palindrome (246555555642).

The spelling of 101112344541 in words is "one hundred one billion, one hundred twelve million, three hundred forty-four thousand, five hundred forty-one".