221100110120101 has 2 divisors, whose sum is σ = 221100110120102. Its totient is φ = 221100110120100.

The previous prime is 221100110119943. The next prime is 221100110120143. The reversal of 221100110120101 is 101021011001122.

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., 188468939103201 + 32631171016900 = 13728399^2 + 5712370^2 .

It is a cyclic number.

It is not a de Polignac number, because 221100110120101 - 2³⁹ = 220550354306213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221100110190101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550055060050 + 110550055060051.

It is an arithmetic number, because the mean of its divisors is an integer number (110550055060051).

Almost surely, 2^{221100110120101} is an apocalyptic number.

It is an amenable number.

221100110120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221100110120101 is an equidigital number, since it uses as much as digits as its factorization.

221100110120101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 221100110120101 its reverse (101021011001122), we get a palindrome (322121121121223).

The spelling of 221100110120101 in words is "two hundred twenty-one trillion, one hundred billion, one hundred ten million, one hundred twenty thousand, one hundred one".