1010022221261 has 2 divisors, whose sum is σ = 1010022221262. Its totient is φ = 1010022221260.

The previous prime is 1010022221233. The next prime is 1010022221291. The reversal of 1010022221261 is 1621222200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 668813196100 + 341209025161 = 817810^2 + 584131^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010022221261 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010022221291) 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, 505011110630 + 505011110631.

It is an arithmetic number, because the mean of its divisors is an integer number (505011110631).

Almost surely, 2^{1010022221261} is an apocalyptic number.

It is an amenable number.

1010022221261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010022221261 is an equidigital number, since it uses as much as digits as its factorization.

1010022221261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1010022221261 its reverse (1621222200101), we get a palindrome (2631244421362).

The spelling of 1010022221261 in words is "one trillion, ten billion, twenty-two million, two hundred twenty-one thousand, two hundred sixty-one".