21122102000093 has 2 divisors, whose sum is σ = 21122102000094. Its totient is φ = 21122102000092.

The previous prime is 21122102000011. The next prime is 21122102000123. The reversal of 21122102000093 is 39000020122112.

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., 17012671628164 + 4109430371929 = 4124642^2 + 2027173^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122102000093 - 2¹² = 21122101995997 is a prime.

It is a super-2 number, since 2×21122102000093² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122102000893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561051000046 + 10561051000047.

It is an arithmetic number, because the mean of its divisors is an integer number (10561051000047).

Almost surely, 2^{21122102000093} is an apocalyptic number.

It is an amenable number.

21122102000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122102000093 is an equidigital number, since it uses as much as digits as its factorization.

21122102000093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 21122102000093 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, ninety-three", and thus it is an aban number.