101000011000101 has 32 divisors (see below), whose sum is σ = 147190012416000. Its totient is φ = 61327388010240.

The previous prime is 101000011000069. The next prime is 101000011000159. The reversal of 101000011000101 is 101000110000101.

It is not a de Polignac number, because 101000011000101 - 2⁵ = 101000011000069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000011000171) 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, 117798450 + ... + 118652748.

It is an arithmetic number, because the mean of its divisors is an integer number (4599687888000).

Almost surely, 2^{101000011000101} is an apocalyptic number.

It is an amenable number.

101000011000101 is a deficient number, since it is larger than the sum of its proper divisors (46190001415899).

101000011000101 is a wasteful number, since it uses less digits than its factorization.

101000011000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929129.

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

Adding to 101000011000101 its reverse (101000110000101), we get a palindrome (202000121000202).

The spelling of 101000011000101 in words is "one hundred one trillion, eleven million, one hundred one", and thus it is an aban number.