2112002021761 has 2 divisors, whose sum is σ = 2112002021762. Its totient is φ = 2112002021760.

The previous prime is 2112002021747. The next prime is 2112002021771. The reversal of 2112002021761 is 1671202002112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1700311681600 + 411690340161 = 1303960^2 + 641631^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112002021761 - 2⁹ = 2112002021249 is a prime.

It is a super-2 number, since 2×2112002021761² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112002021771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056001010880 + 1056001010881.

It is an arithmetic number, because the mean of its divisors is an integer number (1056001010881).

Almost surely, 2^{2112002021761} is an apocalyptic number.

It is an amenable number.

2112002021761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112002021761 is an equidigital number, since it uses as much as digits as its factorization.

2112002021761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 2112002021761 its reverse (1671202002112), we get a palindrome (3783204023873).

The spelling of 2112002021761 in words is "two trillion, one hundred twelve billion, two million, twenty-one thousand, seven hundred sixty-one".