21111143891137 has 2 divisors, whose sum is σ = 21111143891138. Its totient is φ = 21111143891136.

The previous prime is 21111143891099. The next prime is 21111143891141. The reversal of 21111143891137 is 73119834111112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21083855824656 + 27288066481 = 4591716^2 + 165191^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111143891137 - 2⁷ = 21111143891009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21111143891093 and 21111143891102.

It is not a weakly prime, because it can be changed into another prime (21111143891237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555571945568 + 10555571945569.

It is an arithmetic number, because the mean of its divisors is an integer number (10555571945569).

Almost surely, 2^{21111143891137} is an apocalyptic number.

It is an amenable number.

21111143891137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111143891137 is an equidigital number, since it uses as much as digits as its factorization.

21111143891137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 43.

The spelling of 21111143891137 in words is "twenty-one trillion, one hundred eleven billion, one hundred forty-three million, eight hundred ninety-one thousand, one hundred thirty-seven".