110211122221001 has 8 divisors (see below), whose sum is σ = 112338830037000. Its totient is φ = 108093768215040.

The previous prime is 110211122220959. The next prime is 110211122221087. The reversal of 110211122221001 is 100122221112011.

It can be written as a sum of positive squares in 4 ways, for example, as 6897468601 + 110204224752400 = 83051^2 + 10497820^2 .

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 110211122221001 - 2²² = 110211118026697 is a prime.

It is a super-2 number, since 2×110211122221001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110211122821001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2588431016 + ... + 2588473593.

It is an arithmetic number, because the mean of its divisors is an integer number (14042353754625).

Almost surely, 2^{110211122221001} is an apocalyptic number.

It is an amenable number.

110211122221001 is a deficient number, since it is larger than the sum of its proper divisors (2127707815999).

110211122221001 is an equidigital number, since it uses as much as digits as its factorization.

110211122221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176905019.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110211122221001 its reverse (100122221112011), we get a palindrome (210333343333012).

The spelling of 110211122221001 in words is "one hundred ten trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, one".