101101111105511 has 16 divisors (see below), whose sum is σ = 112983171483168. Its totient is φ = 89667598732800.

The previous prime is 101101111105471. The next prime is 101101111105613. The reversal of 101101111105511 is 115501111101101.

It is not a de Polignac number, because 101101111105511 - 2²⁶ = 101101043996647 is a prime.

It is a super-2 number, since 2×101101111105511² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111107511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53402945 + ... + 55263701.

It is an arithmetic number, because the mean of its divisors is an integer number (7061448217698).

Almost surely, 2^{101101111105511} is an apocalyptic number.

101101111105511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101111105511 is a deficient number, since it is larger than the sum of its proper divisors (11882060377657).

101101111105511 is a wasteful number, since it uses less digits than its factorization.

101101111105511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981282.

The product of its (nonzero) digits is 25, while the sum is 20.

Adding to 101101111105511 its reverse (115501111101101), we get a palindrome (216602222206612).

The spelling of 101101111105511 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred five thousand, five hundred eleven".