1002113111201 has 2 divisors, whose sum is σ = 1002113111202. Its totient is φ = 1002113111200.

The previous prime is 1002113111161. The next prime is 1002113111227. The reversal of 1002113111201 is 1021113112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996842496400 + 5270614801 = 998420^2 + 72599^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002113111201 - 2¹⁴ = 1002113094817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002113111281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501056555600 + 501056555601.

It is an arithmetic number, because the mean of its divisors is an integer number (501056555601).

Almost surely, 2^{1002113111201} is an apocalyptic number.

It is an amenable number.

1002113111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002113111201 is an equidigital number, since it uses as much as digits as its factorization.

1002113111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1002113111201 its reverse (1021113112001), we get a palindrome (2023226223202).

The spelling of 1002113111201 in words is "one trillion, two billion, one hundred thirteen million, one hundred eleven thousand, two hundred one".