1011022201841 has 2 divisors, whose sum is σ = 1011022201842. Its totient is φ = 1011022201840.

The previous prime is 1011022201831. The next prime is 1011022201867. The reversal of 1011022201841 is 1481022201101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 949983558241 + 61038643600 = 974671^2 + 247060^2 .

It is an emirp because it is prime and its reverse (1481022201101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011022201841 - 2³⁴ = 993842332657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1011022201811) 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, 505511100920 + 505511100921.

It is an arithmetic number, because the mean of its divisors is an integer number (505511100921).

Almost surely, 2^{1011022201841} is an apocalyptic number.

It is an amenable number.

1011022201841 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011022201841 is an equidigital number, since it uses as much as digits as its factorization.

1011022201841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 1011022201841 its reverse (1481022201101), we get a palindrome (2492044402942).

The spelling of 1011022201841 in words is "one trillion, eleven billion, twenty-two million, two hundred one thousand, eight hundred forty-one".