1001111212141 has 2 divisors, whose sum is σ = 1001111212142. Its totient is φ = 1001111212140.

The previous prime is 1001111212109. The next prime is 1001111212147. The reversal of 1001111212141 is 1412121111001.

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., 689240342025 + 311870870116 = 830205^2 + 558454^2 .

It is an emirp because it is prime and its reverse (1412121111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001111212141 - 2⁵ = 1001111212109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001111212147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555606070 + 500555606071.

It is an arithmetic number, because the mean of its divisors is an integer number (500555606071).

Almost surely, 2^{1001111212141} is an apocalyptic number.

It is an amenable number.

1001111212141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111212141 is an equidigital number, since it uses as much as digits as its factorization.

1001111212141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 1001111212141 its reverse (1412121111001), we get a palindrome (2413232323142).

The spelling of 1001111212141 in words is "one trillion, one billion, one hundred eleven million, two hundred twelve thousand, one hundred forty-one".