221211100110001 has 2 divisors, whose sum is σ = 221211100110002. Its totient is φ = 221211100110000.

The previous prime is 221211100109939. The next prime is 221211100110031. The reversal of 221211100110001 is 100011001112122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208639998029376 + 12571102080625 = 14444376^2 + 3545575^2 .

It is a cyclic number.

It is not a de Polignac number, because 221211100110001 - 2³⁷ = 221073661156529 is a prime.

It is not a weakly prime, because it can be changed into another prime (221211100110031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605550055000 + 110605550055001.

It is an arithmetic number, because the mean of its divisors is an integer number (110605550055001).

Almost surely, 2^{221211100110001} is an apocalyptic number.

It is an amenable number.

221211100110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211100110001 is an equidigital number, since it uses as much as digits as its factorization.

221211100110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221211100110001 its reverse (100011001112122), we get a palindrome (321222101222123).

The spelling of 221211100110001 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred million, one hundred ten thousand, one".