110211202112011 has 96 divisors (see below), whose sum is σ = 150875625600000. Its totient is φ = 78330228768000.

The previous prime is 110211202111943. The next prime is 110211202112069.

110211202112011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110211202112011 - 2¹⁵ = 110211202079243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110211202112111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554844090 + ... + 555042688.

It is an arithmetic number, because the mean of its divisors is an integer number (1571621100000).

Almost surely, 2^{110211202112011} is an apocalyptic number.

110211202112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110211202112011 is a deficient number, since it is larger than the sum of its proper divisors (40664423487989).

110211202112011 is a wasteful number, since it uses less digits than its factorization.

110211202112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199241 (or 199230 counting only the distinct ones).

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

It can be divided in two parts, 11021120 and 2112011, that added together give a palindrome (13133131).

The spelling of 110211202112011 in words is "one hundred ten trillion, two hundred eleven billion, two hundred two million, one hundred twelve thousand, eleven".