101101100011011 has 20 divisors (see below), whose sum is σ = 151198996692744. Its totient is φ = 67324228488000.

The previous prime is 101101100010979. The next prime is 101101100011013. The reversal of 101101100011011 is 110110001101101.

It is not a de Polignac number, because 101101100011011 - 2⁵ = 101101100010979 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 = 101101100010984 and 101101100011002.

It is not an unprimeable number, because it can be changed into a prime (101101100011013) 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, 708306465 + ... + 708449186.

Almost surely, 2^{101101100011011} is an apocalyptic number.

101101100011011 is a deficient number, since it is larger than the sum of its proper divisors (50097896681733).

101101100011011 is an equidigital number, since it uses as much as digits as its factorization.

101101100011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416756544 (or 1416756535 counting only the distinct ones).

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

Adding to 101101100011011 its reverse (110110001101101), we get a palindrome (211211101112112).

The spelling of 101101100011011 in words is "one hundred one trillion, one hundred one billion, one hundred million, eleven thousand, eleven".