10110100100101 has 16 divisors (see below), whose sum is σ = 10180357344000. Its totient is φ = 10040089024000.

The previous prime is 10110100100003. The next prime is 10110100100141. The reversal of 10110100100101 is 10100100101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10110100100101 - 2¹⁷ = 10110099969029 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 (10110100100141) 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, 445544166 + ... + 445566856.

It is an arithmetic number, because the mean of its divisors is an integer number (636272334000).

Almost surely, 2^{10110100100101} is an apocalyptic number.

It is an amenable number.

10110100100101 is a deficient number, since it is larger than the sum of its proper divisors (70257243899).

10110100100101 is a wasteful number, since it uses less digits than its factorization.

10110100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27980.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10110100100101 its reverse (10100100101101), we get a palindrome (20210200201202).

It can be divided in two parts, 101 and 10100100101, that multiplied together give a palindrome (1020110110201).

The spelling of 10110100100101 in words is "ten trillion, one hundred ten billion, one hundred million, one hundred thousand, one hundred one".