101110101111111 has 64 divisors (see below), whose sum is σ = 146013378232320. Its totient is φ = 62088796598400.

The previous prime is 101110101111049. The next prime is 101110101111127. The reversal of 101110101111111 is 111111101011101.

It is not a de Polignac number, because 101110101111111 - 2¹⁷ = 101110100980039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110101111211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35516376 + ... + 38257458.

It is an arithmetic number, because the mean of its divisors is an integer number (2281459034880).

Almost surely, 2^{101110101111111} is an apocalyptic number.

101110101111111 is a deficient number, since it is larger than the sum of its proper divisors (44903277121209).

101110101111111 is a wasteful number, since it uses less digits than its factorization.

101110101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741356.

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

Adding to 101110101111111 its reverse (111111101011101), we get a palindrome (212221202122212).

The spelling of 101110101111111 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, one hundred eleven".