42002211293981 has 2 divisors, whose sum is σ = 42002211293982. Its totient is φ = 42002211293980.

The previous prime is 42002211293963. The next prime is 42002211293983. The reversal of 42002211293981 is 18939211220024.

42002211293981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35675426897881 + 6326784396100 = 5972891^2 + 2515310^2 .

It is a cyclic number.

It is not a de Polignac number, because 42002211293981 - 2²⁶ = 42002144185117 is a prime.

It is a super-2 number, since 2×42002211293981² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 42002211293983, it forms a pair of twin primes.

It is a Chen 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 (42002211293983) 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, 21001105646990 + 21001105646991.

It is an arithmetic number, because the mean of its divisors is an integer number (21001105646991).

Almost surely, 2^{42002211293981} is an apocalyptic number.

It is an amenable number.

42002211293981 is a deficient number, since it is larger than the sum of its proper divisors (1).

42002211293981 is an equidigital number, since it uses as much as digits as its factorization.

42002211293981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 42002211293981 in words is "forty-two trillion, two billion, two hundred eleven million, two hundred ninety-three thousand, nine hundred eighty-one".