101110111011011 has 16 divisors (see below), whose sum is σ = 108520957923840. Its totient is φ = 93870540915840.

The previous prime is 101110111010981. The next prime is 101110111011089. The reversal of 101110111011011 is 110110111011101.

It is a cyclic number.

It is not a de Polignac number, because 101110111011011 - 2⁶ = 101110111010947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110111010983 and 101110111011001.

It is not an unprimeable number, because it can be changed into a prime (101110111010011) 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, 135562031 + ... + 136305848.

It is an arithmetic number, because the mean of its divisors is an integer number (6782559870240).

Almost surely, 2^{101110111011011} is an apocalyptic number.

101110111011011 is a deficient number, since it is larger than the sum of its proper divisors (7410846912829).

101110111011011 is a wasteful number, since it uses less digits than its factorization.

101110111011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271868194.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101110111011011 its reverse (110110111011101), we get a palindrome (211220222022112).

It can be divided in two parts, 1011101 and 11011011, that multiplied together give a palindrome (11133244233111).

The spelling of 101110111011011 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, eleven thousand, eleven".