101110201102111 has 16 divisors (see below), whose sum is σ = 103639506531840. Its totient is φ = 98597300105920.

The previous prime is 101110201102087. The next prime is 101110201102153. The reversal of 101110201102111 is 111201102011101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110201102111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110201102091 and 101110201102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110201102181) 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, 10687920 + ... + 17789098.

It is an arithmetic number, because the mean of its divisors is an integer number (6477469158240).

Almost surely, 2^{101110201102111} is an apocalyptic number.

101110201102111 is a deficient number, since it is larger than the sum of its proper divisors (2529305429729).

101110201102111 is an equidigital number, since it uses as much as digits as its factorization.

101110201102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102334.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101110201102111 its reverse (111201102011101), we get a palindrome (212311303113212).

The spelling of 101110201102111 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, one hundred two thousand, one hundred eleven".