2111022012241 has 2 divisors, whose sum is σ = 2111022012242. Its totient is φ = 2111022012240.

The previous prime is 2111022012133. The next prime is 2111022012257. The reversal of 2111022012241 is 1422102201112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2051239806225 + 59782206016 = 1432215^2 + 244504^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111022012241 - 2²¹ = 2111019915089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111022012941) 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 as a sum of consecutive naturals, namely, 1055511006120 + 1055511006121.

It is an arithmetic number, because the mean of its divisors is an integer number (1055511006121).

Almost surely, 2^{2111022012241} is an apocalyptic number.

It is an amenable number.

2111022012241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111022012241 is an equidigital number, since it uses as much as digits as its factorization.

2111022012241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2111022012241 its reverse (1422102201112), we get a palindrome (3533124213353).

The spelling of 2111022012241 in words is "two trillion, one hundred eleven billion, twenty-two million, twelve thousand, two hundred forty-one".