101110111011 has 96 divisors (see below), whose sum is σ = 185175955328. Its totient is φ = 51732172800.

The previous prime is 101110110961. The next prime is 101110111049. The reversal of 101110111011 is 110111011101.

It is not a de Polignac number, because 101110111011 - 2⁹ = 101110110499 is a prime.

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

101110111011 is a modest number, since divided by 10111011 gives 1011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101110110984 and 101110111002.

It is not an unprimeable number, because it can be changed into a prime (101110111051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10207161 + ... + 10217061.

Almost surely, 2^101110111011 is an apocalyptic number.

101110111011 is a deficient number, since it is larger than the sum of its proper divisors (84065844317).

101110111011 is a wasteful number, since it uses less digits than its factorization.

101110111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301 (or 10298 counting only the distinct ones).

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

Adding to 101110111011 its reverse (110111011101), we get a palindrome (211221122112).

It can be divided in two parts, 1011101 and 11011, that multiplied together give a palindrome (11133233111).

The spelling of 101110111011 in words is "one hundred one billion, one hundred ten million, one hundred eleven thousand, eleven".