101295664095 has 16 divisors (see below), whose sum is σ = 162151446240. Its totient is φ = 53998226304.

The previous prime is 101295664091. The next prime is 101295664097. The reversal of 101295664095 is 590466592101.

It is not a de Polignac number, because 101295664095 - 2² = 101295664091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101295664091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600924 + ... + 1662993.

It is an arithmetic number, because the mean of its divisors is an integer number (10134465390).

Almost surely, 2^101295664095 is an apocalyptic number.

101295664095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101295664095 is a deficient number, since it is larger than the sum of its proper divisors (60855782145).

101295664095 is a wasteful number, since it uses less digits than its factorization.

101295664095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265994.

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 101295664095 in words is "one hundred one billion, two hundred ninety-five million, six hundred sixty-four thousand, ninety-five".