2042166120101 has 2 divisors, whose sum is σ = 2042166120102. Its totient is φ = 2042166120100.

The previous prime is 2042166120089. The next prime is 2042166120139. The reversal of 2042166120101 is 1010216612402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1237431535201 + 804734584900 = 1112399^2 + 897070^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042166120101 - 2³⁰ = 2041092378277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042166126101) 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, 1021083060050 + 1021083060051.

It is an arithmetic number, because the mean of its divisors is an integer number (1021083060051).

Almost surely, 2^{2042166120101} is an apocalyptic number.

It is an amenable number.

2042166120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042166120101 is an equidigital number, since it uses as much as digits as its factorization.

2042166120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2042166120101 in words is "two trillion, forty-two billion, one hundred sixty-six million, one hundred twenty thousand, one hundred one".