1012002221137 has 2 divisors, whose sum is σ = 1012002221138. Its totient is φ = 1012002221136.

The previous prime is 1012002221129. The next prime is 1012002221147. The reversal of 1012002221137 is 7311222002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 927669480336 + 84332740801 = 963156^2 + 290401^2 .

It is an emirp because it is prime and its reverse (7311222002101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012002221137 - 2³ = 1012002221129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012002221107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506001110568 + 506001110569.

It is an arithmetic number, because the mean of its divisors is an integer number (506001110569).

Almost surely, 2^{1012002221137} is an apocalyptic number.

It is an amenable number.

1012002221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012002221137 is an equidigital number, since it uses as much as digits as its factorization.

1012002221137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 1012002221137 its reverse (7311222002101), we get a palindrome (8323224223238).

The spelling of 1012002221137 in words is "one trillion, twelve billion, two million, two hundred twenty-one thousand, one hundred thirty-seven".