101385111040744 has 16 divisors (see below), whose sum is σ = 190927201472100. Its totient is φ = 50471190648192.

The previous prime is 101385111040679. The next prime is 101385111040747. The reversal of 101385111040744 is 447040111583101.

101385111040744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 83845850800644 + 17539260240100 = 9156738^2 + 4187990^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101385111040697 and 101385111040706.

It is not an unprimeable number, because it can be changed into a prime (101385111040747) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27670607077 + ... + 27670610740.

Almost surely, 2^{101385111040744} is an apocalyptic number.

It is an amenable number.

101385111040744 is a deficient number, since it is larger than the sum of its proper divisors (89542090431356).

101385111040744 is a wasteful number, since it uses less digits than its factorization.

101385111040744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55341218052 (or 55341218048 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 101385111040744 in words is "one hundred one trillion, three hundred eighty-five billion, one hundred eleven million, forty thousand, seven hundred forty-four".