10100111011101 has 12 divisors (see below), whose sum is σ = 14983347866812. Its totient is φ = 6551423358336.

The previous prime is 10100111011097. The next prime is 10100111011103. The reversal of 10100111011101 is 10111011100101.

It can be written as a sum of positive squares in 2 ways, for example, as 9133094454201 + 967016556900 = 3022101^2 + 983370^2 .

It is not a de Polignac number, because 10100111011101 - 2² = 10100111011097 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111011103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15165331516 + ... + 15165332181.

Almost surely, 2^{10100111011101} is an apocalyptic number.

It is an amenable number.

10100111011101 is a deficient number, since it is larger than the sum of its proper divisors (4883236855711).

10100111011101 is a wasteful number, since it uses less digits than its factorization.

10100111011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30330663740 (or 30330663737 counting only the distinct ones).

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

Adding to 10100111011101 its reverse (10111011100101), we get a palindrome (20211122111202).

The spelling of 10100111011101 in words is "ten trillion, one hundred billion, one hundred eleven million, eleven thousand, one hundred one".