220111100110001 has 8 divisors (see below), whose sum is σ = 224268295613544. Its totient is φ = 215954058528000.

The previous prime is 220111100109883. The next prime is 220111100110007. The reversal of 220111100110001 is 100011001111022.

220111100110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50908239270001 + 169202860840000 = 7135001^2 + 13007800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220111100110001 - 2¹⁸ = 220111099847857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220111100110007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35591306 + ... + 41315411.

It is an arithmetic number, because the mean of its divisors is an integer number (28033536951693).

Almost surely, 2^{220111100110001} is an apocalyptic number.

It is an amenable number.

220111100110001 is a deficient number, since it is larger than the sum of its proper divisors (4157195503543).

220111100110001 is an equidigital number, since it uses as much as digits as its factorization.

220111100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76960771.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 220111100110001 its reverse (100011001111022), we get a palindrome (320122101221023).

The spelling of 220111100110001 in words is "two hundred twenty trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one".