101110112122211 has 16 divisors (see below), whose sum is σ = 101835888650496. Its totient is φ = 100387402500000.

The previous prime is 101110112122169. The next prime is 101110112122291. The reversal of 101110112122211 is 112221211011101.

It is a cyclic number.

It is not a de Polignac number, because 101110112122211 - 2¹⁸ = 101110111860067 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101110112122211.

It is not an unprimeable number, because it can be changed into a prime (101110112122291) 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, 99964826 + ... + 100971216.

It is an arithmetic number, because the mean of its divisors is an integer number (6364743040656).

Almost surely, 2^{101110112122211} is an apocalyptic number.

101110112122211 is a deficient number, since it is larger than the sum of its proper divisors (725776528285).

101110112122211 is a wasteful number, since it uses less digits than its factorization.

101110112122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007914.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101110112122211 its reverse (112221211011101), we get a palindrome (213331323133312).

The spelling of 101110112122211 in words is "one hundred one trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, two hundred eleven".