101100010011011 has 32 divisors (see below), whose sum is σ = 114331911609600. Its totient is φ = 88554904663680.

The previous prime is 101100010010999. The next prime is 101100010011019. The reversal of 101100010011011 is 110110010001101.

It is a cyclic number.

It is not a de Polignac number, because 101100010011011 - 2¹⁸ = 101100009748867 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100010011011.

It is not an unprimeable number, because it can be changed into a prime (101100010011019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700168220 + ... + 700312598.

It is an arithmetic number, because the mean of its divisors is an integer number (3572872237800).

Almost surely, 2^{101100010011011} is an apocalyptic number.

101100010011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100010011011 is a deficient number, since it is larger than the sum of its proper divisors (13231901598589).

101100010011011 is a wasteful number, since it uses less digits than its factorization.

101100010011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148979.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100010011011 its reverse (110110010001101), we get a palindrome (211210020012112).

It can be divided in two parts, 1011000 and 10011011, that added together give a palindrome (11022011).

The spelling of 101100010011011 in words is "one hundred one trillion, one hundred billion, ten million, eleven thousand, eleven".