101000000110101 has 16 divisors (see below), whose sum is σ = 141760136678400. Its totient is φ = 63786886002288.

The previous prime is 101000000110081. The next prime is 101000000110127. The reversal of 101000000110101 is 101011000000101.

It is not a de Polignac number, because 101000000110101 - 2⁷ = 101000000109973 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000000110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000000110201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34523101 + ... + 37334226.

It is an arithmetic number, because the mean of its divisors is an integer number (8860008542400).

Almost surely, 2^{101000000110101} is an apocalyptic number.

It is an amenable number.

101000000110101 is a deficient number, since it is larger than the sum of its proper divisors (40760136568299).

101000000110101 is a wasteful number, since it uses less digits than its factorization.

101000000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71882008.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000000110101 its reverse (101011000000101), we get a palindrome (202011000110202).

The spelling of 101000000110101 in words is "one hundred one trillion, one hundred ten thousand, one hundred one".