1011821018161 has 2 divisors, whose sum is σ = 1011821018162. Its totient is φ = 1011821018160.

The previous prime is 1011821018119. The next prime is 1011821018203. The reversal of 1011821018161 is 1618101281101.

It is a balanced prime because it is at equal distance from previous prime (1011821018119) and next prime (1011821018203).

It can be written as a sum of positive squares in only one way, i.e., 1010266214400 + 1554803761 = 1005120^2 + 39431^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011821018161 - 2¹⁷ = 1011820887089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011821018861) 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, 505910509080 + 505910509081.

It is an arithmetic number, because the mean of its divisors is an integer number (505910509081).

Almost surely, 2^{1011821018161} is an apocalyptic number.

It is an amenable number.

1011821018161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011821018161 is an equidigital number, since it uses as much as digits as its factorization.

1011821018161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 31.

Adding to 1011821018161 its reverse (1618101281101), we get a palindrome (2629922299262).

The spelling of 1011821018161 in words is "one trillion, eleven billion, eight hundred twenty-one million, eighteen thousand, one hundred sixty-one".