10011111100101 has 24 divisors (see below), whose sum is σ = 14854950231264. Its totient is φ = 6492105491040.

The previous prime is 10011111100091. The next prime is 10011111100103. The reversal of 10011111100101 is 10100111111001.

It is not a de Polignac number, because 10011111100101 - 2¹⁵ = 10011111067333 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 (10011111100103) 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, 2312031 + ... + 5036636.

It is an arithmetic number, because the mean of its divisors is an integer number (618956259636).

Almost surely, 2^{10011111100101} is an apocalyptic number.

It is an amenable number.

10011111100101 is a deficient number, since it is larger than the sum of its proper divisors (4843839131163).

10011111100101 is a wasteful number, since it uses less digits than its factorization.

10011111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352801 (or 7352798 counting only the distinct ones).

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

Adding to 10011111100101 its reverse (10100111111001), we get a palindrome (20111222211102).

The spelling of 10011111100101 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred thousand, one hundred one".