10111100100101 has 32 divisors (see below), whose sum is σ = 13576046819328. Its totient is φ = 7272556482240.

The previous prime is 10111100100043. The next prime is 10111100100133. The reversal of 10111100100101 is 10100100111101.

It is a de Polignac number, because none of the positive numbers 2^k-10111100100101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100190101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61201730 + ... + 61366716.

It is an arithmetic number, because the mean of its divisors is an integer number (424251463104).

Almost surely, 2^{10111100100101} is an apocalyptic number.

10111100100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111100100101 is a deficient number, since it is larger than the sum of its proper divisors (3464946719227).

10111100100101 is a wasteful number, since it uses less digits than its factorization.

10111100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226241.

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

Adding to 10111100100101 its reverse (10100100111101), we get a palindrome (20211200211202).

It can be divided in two parts, 10111100 and 100101, that added together give a palindrome (10211201).

The spelling of 10111100100101 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred thousand, one hundred one".