101971431745 has 32 divisors (see below), whose sum is σ = 124971724800. Its totient is φ = 79863537600.

The previous prime is 101971431739. The next prime is 101971431769. The reversal of 101971431745 is 547134179101.

It is not a de Polignac number, because 101971431745 - 2¹³ = 101971423553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16073044 + ... + 16079386.

It is an arithmetic number, because the mean of its divisors is an integer number (3905366400).

Almost surely, 2^101971431745 is an apocalyptic number.

It is an amenable number.

101971431745 is a deficient number, since it is larger than the sum of its proper divisors (23000293055).

101971431745 is a wasteful number, since it uses less digits than its factorization.

101971431745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805.

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 101971431745 in words is "one hundred one billion, nine hundred seventy-one million, four hundred thirty-one thousand, seven hundred forty-five".