101261706561071 has 32 divisors (see below), whose sum is σ = 120807742809600. Its totient is φ = 83077457258880.

The previous prime is 101261706561061. The next prime is 101261706561101. The reversal of 101261706561071 is 170165607162101.

It is not a de Polignac number, because 101261706561071 - 2²² = 101261702366767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101261706561061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311901 + ... + 15190118.

It is an arithmetic number, because the mean of its divisors is an integer number (3775241962800).

Almost surely, 2^{101261706561071} is an apocalyptic number.

101261706561071 is a deficient number, since it is larger than the sum of its proper divisors (19546036248529).

101261706561071 is a wasteful number, since it uses less digits than its factorization.

101261706561071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20502399.

The product of its (nonzero) digits is 105840, while the sum is 44.

The spelling of 101261706561071 in words is "one hundred one trillion, two hundred sixty-one billion, seven hundred six million, five hundred sixty-one thousand, seventy-one".