101000010111011 has 16 divisors (see below), whose sum is σ = 111254070939648. Its totient is φ = 90924696547200.

The previous prime is 101000010110999. The next prime is 101000010111019. The reversal of 101000010111011 is 110111010000101.

It is a cyclic number.

It is not a de Polignac number, because 101000010111011 - 2¹⁰ = 101000010109987 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 101000010111011.

It is not an unprimeable number, because it can be changed into a prime (101000010111019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50279771 + ... + 52249931.

It is an arithmetic number, because the mean of its divisors is an integer number (6953379433728).

Almost surely, 2^{101000010111011} is an apocalyptic number.

101000010111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101000010111011 is a deficient number, since it is larger than the sum of its proper divisors (10254060828637).

101000010111011 is a wasteful number, since it uses less digits than its factorization.

101000010111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015522.

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

Adding to 101000010111011 its reverse (110111010000101), we get a palindrome (211111020111112).

It can be divided in two parts, 1010000101 and 11011, that multiplied together give a palindrome (11121111112111).

The spelling of 101000010111011 in words is "one hundred one trillion, ten million, one hundred eleven thousand, eleven".