101111111101091 has 16 divisors (see below), whose sum is σ = 124468623062784. Its totient is φ = 79984456586784.

The previous prime is 101111111101073. The next prime is 101111111101093. The reversal of 101111111101091 is 190101111111101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111111101091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111111101093) 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, 107469365 + ... + 108406118.

It is an arithmetic number, because the mean of its divisors is an integer number (7779288941424).

Almost surely, 2^{101111111101091} is an apocalyptic number.

101111111101091 is a deficient number, since it is larger than the sum of its proper divisors (23357511961693).

101111111101091 is a wasteful number, since it uses less digits than its factorization.

101111111101091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215880650.

The product of its (nonzero) digits is 9, while the sum is 20.

Adding to 101111111101091 its reverse (190101111111101), we get a palindrome (291212222212192).

It can be divided in two parts, 1011111111010 and 91, that added together give a palindrome (1011111111101).

The spelling of 101111111101091 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred one thousand, ninety-one".