1001122122241 has 2 divisors, whose sum is σ = 1001122122242. Its totient is φ = 1001122122240.

The previous prime is 1001122122211. The next prime is 1001122122271. The reversal of 1001122122241 is 1422212211001.

It is a balanced prime because it is at equal distance from previous prime (1001122122211) and next prime (1001122122271).

It can be written as a sum of positive squares in only one way, i.e., 950389064641 + 50733057600 = 974879^2 + 225240^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001122122241 - 2¹³ = 1001122114049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001122122211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500561061120 + 500561061121.

It is an arithmetic number, because the mean of its divisors is an integer number (500561061121).

Almost surely, 2^{1001122122241} is an apocalyptic number.

It is an amenable number.

1001122122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001122122241 is an equidigital number, since it uses as much as digits as its factorization.

1001122122241 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 1001122122241 its reverse (1422212211001), we get a palindrome (2423334333242).

The spelling of 1001122122241 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred forty-one".