11221220110001 has 6 divisors (see below), whose sum is σ = 12334068385506. Its totient is φ = 10201109190800.

The previous prime is 11221220109961. The next prime is 11221220110031. The reversal of 11221220110001 is 10001102212211.

11221220110001 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 only one way, i.e., 6948416920225 + 4272803189776 = 2635985^2 + 2067076^2 .

It is not a de Polignac number, because 11221220110001 - 2⁴² = 6823173598897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11221220110031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46368678020 + ... + 46368678261.

It is an arithmetic number, because the mean of its divisors is an integer number (2055678064251).

Almost surely, 2^{11221220110001} is an apocalyptic number.

11221220110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221220110001 is a deficient number, since it is larger than the sum of its proper divisors (1112848275505).

11221220110001 is an equidigital number, since it uses as much as digits as its factorization.

11221220110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92737356303 (or 92737356292 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221220110001 its reverse (10001102212211), we get a palindrome (21222322322212).

The spelling of 11221220110001 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, one".