101010000100095 has 48 divisors (see below), whose sum is σ = 175705992195552. Its totient is φ = 53680901683200.

The previous prime is 101010000100081. The next prime is 101010000100111. The reversal of 101010000100095 is 590001000010101.

It is not a de Polignac number, because 101010000100095 - 2⁸ = 101010000099839 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14133139 + ... + 20044091.

It is an arithmetic number, because the mean of its divisors is an integer number (3660541504074).

Almost surely, 2^{101010000100095} is an apocalyptic number.

101010000100095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101010000100095 is a deficient number, since it is larger than the sum of its proper divisors (74695992095457).

101010000100095 is a wasteful number, since it uses less digits than its factorization.

101010000100095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912312 (or 5912309 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 18.

Adding to 101010000100095 its reverse (590001000010101), we get a palindrome (691011000110196).

The spelling of 101010000100095 in words is "one hundred one trillion, ten billion, one hundred thousand, ninety-five".