101110111011111 has 32 divisors (see below), whose sum is σ = 138989992458240. Its totient is φ = 65332532081664.

The previous prime is 101110111011089. The next prime is 101110111011137. The reversal of 101110111011111 is 111110111011101.

It is not a de Polignac number, because 101110111011111 - 2¹⁸ = 101110110748967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110111013111) 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 31 ways as a sum of consecutive naturals, for example, 748236610 + ... + 748371728.

It is an arithmetic number, because the mean of its divisors is an integer number (4343437264320).

Almost surely, 2^{101110111011111} is an apocalyptic number.

101110111011111 is a deficient number, since it is larger than the sum of its proper divisors (37879881447129).

101110111011111 is a wasteful number, since it uses less digits than its factorization.

101110111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161055.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101110111011111 its reverse (111110111011101), we get a palindrome (212220222022212).

It can be divided in two parts, 10111011101 and 1111, that multiplied together give a palindrome (11233333333211).

The spelling of 101110111011111 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, eleven thousand, one hundred eleven".