101146445271 has 24 divisors (see below), whose sum is σ = 146543953920. Its totient is φ = 67226571216.

The previous prime is 101146445243. The next prime is 101146445273. The reversal of 101146445271 is 172544641101.

101146445271 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 644 + 5 + 2 + 7 + 1 = 666.

It is not a de Polignac number, because 101146445271 - 2⁹ = 101146444759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101146445273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4046550 + ... + 4071468.

It is an arithmetic number, because the mean of its divisors is an integer number (6105998080).

Almost surely, 2^101146445271 is an apocalyptic number.

101146445271 is a deficient number, since it is larger than the sum of its proper divisors (45397508649).

101146445271 is a wasteful number, since it uses less digits than its factorization.

101146445271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26275 (or 26272 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 101146445271 in words is "one hundred one billion, one hundred forty-six million, four hundred forty-five thousand, two hundred seventy-one".