21122010012127 has 2 divisors, whose sum is σ = 21122010012128. Its totient is φ = 21122010012126.

The previous prime is 21122010012109. The next prime is 21122010012143. The reversal of 21122010012127 is 72121001022112.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122010012127 is a prime.

It is a super-2 number, since 2×21122010012127² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122010012098 and 21122010012107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122010012227) 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, 10561005006063 + 10561005006064.

It is an arithmetic number, because the mean of its divisors is an integer number (10561005006064).

Almost surely, 2^{21122010012127} is an apocalyptic number.

21122010012127 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122010012127 is an equidigital number, since it uses as much as digits as its factorization.

21122010012127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 21122010012127 its reverse (72121001022112), we get a palindrome (93243011034239).

The spelling of 21122010012127 in words is "twenty-one trillion, one hundred twenty-two billion, ten million, twelve thousand, one hundred twenty-seven".