101105041512031 has 16 divisors (see below), whose sum is σ = 105446504949760. Its totient is φ = 96832282044960.

The previous prime is 101105041512011. The next prime is 101105041512073. The reversal of 101105041512031 is 130215140501101.

It is a cyclic number.

It is not a de Polignac number, because 101105041512031 - 2⁹ = 101105041511519 is a prime.

It is a super-2 number, since 2×101105041512031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101105041511987 and 101105041512005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105041512011) 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, 4985040 + ... + 15068533.

It is an arithmetic number, because the mean of its divisors is an integer number (6590406559360).

Almost surely, 2^{101105041512031} is an apocalyptic number.

101105041512031 is a deficient number, since it is larger than the sum of its proper divisors (4341463437729).

101105041512031 is a wasteful number, since it uses less digits than its factorization.

101105041512031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055286.

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 101105041512031 in words is "one hundred one trillion, one hundred five billion, forty-one million, five hundred twelve thousand, thirty-one".