1012121321089 has 2 divisors, whose sum is σ = 1012121321090. Its totient is φ = 1012121321088.

The previous prime is 1012121321087. The next prime is 1012121321143. The reversal of 1012121321089 is 9801231212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 937976754064 + 74144567025 = 968492^2 + 272295^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012121321089 - 2¹ = 1012121321087 is a prime.

It is a super-2 number, since 2×1012121321089² (a number of 25 digits) contains 22 as substring.

Together with 1012121321087, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1012121321089.

It is not a weakly prime, because it can be changed into another prime (1012121321087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506060660544 + 506060660545.

It is an arithmetic number, because the mean of its divisors is an integer number (506060660545).

Almost surely, 2^{1012121321089} is an apocalyptic number.

It is an amenable number.

1012121321089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012121321089 is an equidigital number, since it uses as much as digits as its factorization.

1012121321089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 1012121321089 in words is "one trillion, twelve billion, one hundred twenty-one million, three hundred twenty-one thousand, eighty-nine".