10111100110101 has 20 divisors (see below), whose sum is σ = 15114776430732. Its totient is φ = 6736029398208.

The previous prime is 10111100110057. The next prime is 10111100110103. The reversal of 10111100110101 is 10101100111101.

It can be written as a sum of positive squares in 2 ways, for example, as 3727316751876 + 6383783358225 = 1930626^2 + 2526615^2 .

It is not a de Polignac number, because 10111100110101 - 2¹⁸ = 10111099847957 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 (10111100110103) 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 19 ways as a sum of consecutive naturals, for example, 43438846 + ... + 43670991.

Almost surely, 2^{10111100110101} is an apocalyptic number.

It is an amenable number.

10111100110101 is a deficient number, since it is larger than the sum of its proper divisors (5003676320631).

10111100110101 is an equidigital number, since it uses as much as digits as its factorization.

10111100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87111282 (or 87111273 counting only the distinct ones).

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

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

The spelling of 10111100110101 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one hundred one".