101011000101101 has 16 divisors (see below), whose sum is σ = 103778361086400. Its totient is φ = 98262700368000.

The previous prime is 101011000101079. The next prime is 101011000101113. The reversal of 101011000101101 is 101101000110101.

It is a cyclic number.

It is not a de Polignac number, because 101011000101101 - 2²⁶ = 101010932992237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000101181) 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, 177725225 + ... + 178292673.

It is an arithmetic number, because the mean of its divisors is an integer number (6486147567900).

Almost surely, 2^{101011000101101} is an apocalyptic number.

It is an amenable number.

101011000101101 is a deficient number, since it is larger than the sum of its proper divisors (2767360985299).

101011000101101 is a wasteful number, since it uses less digits than its factorization.

101011000101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584236.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101011000101101 its reverse (101101000110101), we get a palindrome (202112000211202).

The spelling of 101011000101101 in words is "one hundred one trillion, eleven billion, one hundred one thousand, one hundred one".