10101100111101 has 12 divisors (see below), whose sum is σ = 14590577848860. Its totient is φ = 6734020628160.

The previous prime is 10101100111099. The next prime is 10101100111129. The reversal of 10101100111101 is 10111100110101.

It can be written as a sum of positive squares in 2 ways, for example, as 5922554976900 + 4178545134201 = 2433630^2 + 2044149^2 .

It is not a de Polignac number, because 10101100111101 - 2¹ = 10101100111099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101100111181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2427966 + ... + 5108543.

It is an arithmetic number, because the mean of its divisors is an integer number (1215881487405).

Almost surely, 2^{10101100111101} is an apocalyptic number.

It is an amenable number.

10101100111101 is a deficient number, since it is larger than the sum of its proper divisors (4489477737759).

10101100111101 is a wasteful number, since it uses less digits than its factorization.

10101100111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685436 (or 7685433 counting only the distinct ones).

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

Adding to 10101100111101 its reverse (10111100110101), we get a palindrome (20212200221202).

The spelling of 10101100111101 in words is "ten trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred one".