101111105081 has 16 divisors (see below), whose sum is σ = 119453488128. Its totient is φ = 83751192000.

The previous prime is 101111105009. The next prime is 101111105089. The reversal of 101111105081 is 180501111101.

It is not a de Polignac number, because 101111105081 - 2¹⁴ = 101111088697 is a prime.

It is a super-2 number, since 2×101111105081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101111105089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180230 + ... + 484463.

It is an arithmetic number, because the mean of its divisors is an integer number (7465843008).

Almost surely, 2^101111105081 is an apocalyptic number.

It is an amenable number.

101111105081 is a deficient number, since it is larger than the sum of its proper divisors (18342383047).

101111105081 is an equidigital number, since it uses as much as digits as its factorization.

101111105081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665432.

The product of its (nonzero) digits is 40, while the sum is 20.

Adding to 101111105081 its reverse (180501111101), we get a palindrome (281612216182).

The spelling of 101111105081 in words is "one hundred one billion, one hundred eleven million, one hundred five thousand, eighty-one".