221101110011101 has 2 divisors, whose sum is σ = 221101110011102. Its totient is φ = 221101110011100.

The previous prime is 221101110011063. The next prime is 221101110011209. The reversal of 221101110011101 is 101110011101122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220710392505625 + 390717505476 = 14856325^2 + 625074^2 .

It is a cyclic number.

It is not a de Polignac number, because 221101110011101 - 2³⁵ = 221066750272733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221101110017101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550555005550 + 110550555005551.

It is an arithmetic number, because the mean of its divisors is an integer number (110550555005551).

Almost surely, 2^{221101110011101} is an apocalyptic number.

It is an amenable number.

221101110011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221101110011101 is an equidigital number, since it uses as much as digits as its factorization.

221101110011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 221101110011101 its reverse (101110011101122), we get a palindrome (322211121112223).

The spelling of 221101110011101 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred ten million, eleven thousand, one hundred one".