42122211041557 has 2 divisors, whose sum is σ = 42122211041558. Its totient is φ = 42122211041556.

The previous prime is 42122211041483. The next prime is 42122211041609. The reversal of 42122211041557 is 75514011222124.

42122211041557 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., 28164769088401 + 13957441953156 = 5307049^2 + 3735966^2 .

It is a cyclic number.

It is not a de Polignac number, because 42122211041557 - 2³⁵ = 42087851303189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42122211041957) 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, 21061105520778 + 21061105520779.

It is an arithmetic number, because the mean of its divisors is an integer number (21061105520779).

Almost surely, 2^{42122211041557} is an apocalyptic number.

It is an amenable number.

42122211041557 is a deficient number, since it is larger than the sum of its proper divisors (1).

42122211041557 is an equidigital number, since it uses as much as digits as its factorization.

42122211041557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 42122211041557 in words is "forty-two trillion, one hundred twenty-two billion, two hundred eleven million, forty-one thousand, five hundred fifty-seven".