10111011100101 has 24 divisors (see below), whose sum is σ = 15002081817944. Its totient is φ = 6557372651520.

The previous prime is 10111011100097. The next prime is 10111011100129. The reversal of 10111011100101 is 10100111011101.

It can be written as a sum of positive squares in 4 ways, for example, as 3573426903201 + 6537584196900 = 1890351^2 + 2556870^2 .

It is not a de Polignac number, because 10111011100101 - 2² = 10111011100097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111411100101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641680 + ... + 4542441.

Almost surely, 2^{10111011100101} is an apocalyptic number.

It is an amenable number.

10111011100101 is a deficient number, since it is larger than the sum of its proper divisors (4891070717843).

10111011100101 is a wasteful number, since it uses less digits than its factorization.

10111011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190021 (or 5190018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111011100101 its reverse (10100111011101), we get a palindrome (20211122111202).

The spelling of 10111011100101 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred thousand, one hundred one".