2220101101241 has 2 divisors, whose sum is σ = 2220101101242. Its totient is φ = 2220101101240.

The previous prime is 2220101101193. The next prime is 2220101101249. The reversal of 2220101101241 is 1421011010222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1947152323216 + 272948778025 = 1395404^2 + 522445^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220101101241 - 2³⁸ = 1945223194297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220101101249) 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, 1110050550620 + 1110050550621.

It is an arithmetic number, because the mean of its divisors is an integer number (1110050550621).

Almost surely, 2^{2220101101241} is an apocalyptic number.

It is an amenable number.

2220101101241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220101101241 is an equidigital number, since it uses as much as digits as its factorization.

2220101101241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2220101101241 its reverse (1421011010222), we get a palindrome (3641112111463).

The spelling of 2220101101241 in words is "two trillion, two hundred twenty billion, one hundred one million, one hundred one thousand, two hundred forty-one".