10100111101011 has 24 divisors (see below), whose sum is σ = 14983557736784. Its totient is φ = 6551331710400.

The previous prime is 10100111101001. The next prime is 10100111101039. The reversal of 10100111101011 is 11010111100101.

10100111101011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100111101011 - 2⁷ = 10100111100883 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 = 10100111100984 and 10100111101002.

It is not an unprimeable number, because it can be changed into a prime (10100111101001) 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, 30103200 + ... + 30436866.

Almost surely, 2^{10100111101011} is an apocalyptic number.

10100111101011 is a deficient number, since it is larger than the sum of its proper divisors (4883446635773).

10100111101011 is a wasteful number, since it uses less digits than its factorization.

10100111101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424611 (or 424608 counting only the distinct ones).

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

Adding to 10100111101011 its reverse (11010111100101), we get a palindrome (21110222201112).

It can be divided in two parts, 10100 and 111101011, that added together give a palindrome (111111111).

The spelling of 10100111101011 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand, eleven".