101111110111011 has 256 divisors, whose sum is σ = 189120691372032. Its totient is φ = 46361059430400.

The previous prime is 101111110111001. The next prime is 101111110111019. The reversal of 101111110111011 is 110111011111101.

It is not a de Polignac number, because 101111110111011 - 2⁶ = 101111110110947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111110111019) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3208536591 + ... + 3208568103.

It is an arithmetic number, because the mean of its divisors is an integer number (738752700672).

Almost surely, 2^{101111110111011} is an apocalyptic number.

101111110111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111110111011 is a deficient number, since it is larger than the sum of its proper divisors (88009581261021).

101111110111011 is a wasteful number, since it uses less digits than its factorization.

101111110111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32082.

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

Adding to 101111110111011 its reverse (110111011111101), we get a palindrome (211222121222112).

It can be divided in two parts, 1011111101 and 11011, that multiplied together give a palindrome (11133344333111).

The spelling of 101111110111011 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, eleven".