101110010111011 has 32 divisors (see below), whose sum is σ = 114996891525120. Its totient is φ = 88100261776800.

The previous prime is 101110010111003. The next prime is 101110010111039. The reversal of 101110010111011 is 110111010011101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101110010111011 - 2³ = 101110010111003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110010115011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2209375 + ... + 14391016.

It is an arithmetic number, because the mean of its divisors is an integer number (3593652860160).

Almost surely, 2^{101110010111011} is an apocalyptic number.

101110010111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101110010111011 is a deficient number, since it is larger than the sum of its proper divisors (13886881414109).

101110010111011 is a wasteful number, since it uses less digits than its factorization.

101110010111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600687.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101110010111011 its reverse (110111010011101), we get a palindrome (211221020122112).

It can be divided in two parts, 1011100 and 10111011, that added together give a palindrome (11122111).

The spelling of 101110010111011 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred eleven thousand, eleven".