21101122110067 has 2 divisors, whose sum is σ = 21101122110068. Its totient is φ = 21101122110066.

The previous prime is 21101122109999. The next prime is 21101122110119. The reversal of 21101122110067 is 76001122110112.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21101122110067 - 2⁷ = 21101122109939 is a prime.

It is not a weakly prime, because it can be changed into another prime (21101122111067) 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, 10550561055033 + 10550561055034.

It is an arithmetic number, because the mean of its divisors is an integer number (10550561055034).

Almost surely, 2^{21101122110067} is an apocalyptic number.

21101122110067 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101122110067 is an equidigital number, since it uses as much as digits as its factorization.

21101122110067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 21101122110067 its reverse (76001122110112), we get a palindrome (97102244220179).

The spelling of 21101122110067 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, sixty-seven".