110112202211011 has 60 divisors (see below), whose sum is σ = 149090455602480. Its totient is φ = 79192871920800.

The previous prime is 110112202210993. The next prime is 110112202211057.

110112202211011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110112202211011 - 2²³ = 110112193822403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110112202212011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12112216576 + ... + 12112225666.

It is an arithmetic number, because the mean of its divisors is an integer number (2484840926708).

Almost surely, 2^{110112202211011} is an apocalyptic number.

110112202211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110112202211011 is a deficient number, since it is larger than the sum of its proper divisors (38978253391469).

110112202211011 is an frugal number, since it uses more digits than its factorization.

110112202211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246 (or 9122 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, 11011220 and 2211011, that added together give a palindrome (13222231).

The spelling of 110112202211011 in words is "one hundred ten trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, eleven".