11220111100001 has 8 divisors (see below), whose sum is σ = 11425936146408. Its totient is φ = 11014992144000.

The previous prime is 11220111099991. The next prime is 11220111100057. The reversal of 11220111100001 is 10000111102211.

It can be written as a sum of positive squares in 4 ways, for example, as 1319327904400 + 9900783195601 = 1148620^2 + 3146551^2 .

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 11220111100001 - 2⁴² = 6822064588897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11220111100091) 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, 176490530 + ... + 176554091.

It is an arithmetic number, because the mean of its divisors is an integer number (1428242018301).

Almost surely, 2^{11220111100001} is an apocalyptic number.

It is an amenable number.

11220111100001 is a deficient number, since it is larger than the sum of its proper divisors (205825046407).

11220111100001 is an equidigital number, since it uses as much as digits as its factorization.

11220111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353045203.

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

Adding to 11220111100001 its reverse (10000111102211), we get a palindrome (21220222202212).

The spelling of 11220111100001 in words is "eleven trillion, two hundred twenty billion, one hundred eleven million, one hundred thousand, one".