10100111011011 has 20 divisors (see below), whose sum is σ = 17243223032112. Its totient is φ = 5771492005968.

The previous prime is 10100111011009. The next prime is 10100111011061. The reversal of 10100111011011 is 11011011100101.

It is not a de Polignac number, because 10100111011011 - 2¹ = 10100111011009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100111010984 and 10100111011002.

It is not an unprimeable number, because it can be changed into a prime (10100111011061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8906622900 + ... + 8906624033.

Almost surely, 2^{10100111011011} is an apocalyptic number.

10100111011011 is a deficient number, since it is larger than the sum of its proper divisors (7143112021101).

10100111011011 is an equidigital number, since it uses as much as digits as its factorization.

10100111011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17813246952 (or 17813246943 counting only the distinct ones).

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

Adding to 10100111011011 its reverse (11011011100101), we get a palindrome (21111122111112).

The spelling of 10100111011011 in words is "ten trillion, one hundred billion, one hundred eleven million, eleven thousand, eleven".