10011101100111 has 24 divisors (see below), whose sum is σ = 14860781446784. Its totient is φ = 6489542836800.

The previous prime is 10011101100073. The next prime is 10011101100131. The reversal of 10011101100111 is 11100110111001.

It is not a de Polignac number, because 10011101100111 - 2¹⁴ = 10011101083727 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011101100093 and 10011101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101100131) 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, 9070840 + ... + 10114461.

Almost surely, 2^{10011101100111} is an apocalyptic number.

10011101100111 is a deficient number, since it is larger than the sum of its proper divisors (4849680346673).

10011101100111 is a wasteful number, since it uses less digits than its factorization.

10011101100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19186911 (or 19186908 counting only the distinct ones).

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

Adding to 10011101100111 its reverse (11100110111001), we get a palindrome (21111211211112).

The spelling of 10011101100111 in words is "ten trillion, eleven billion, one hundred one million, one hundred thousand, one hundred eleven".