1000001012111 has 2 divisors, whose sum is σ = 1000001012112. Its totient is φ = 1000001012110.

The previous prime is 1000001012093. The next prime is 1000001012141. The reversal of 1000001012111 is 1112101000001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1000001012111 - 2¹⁴ = 1000000995727 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000001012141) 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, 500000506055 + 500000506056.

It is an arithmetic number, because the mean of its divisors is an integer number (500000506056).

Almost surely, 2^{1000001012111} is an apocalyptic number.

1000001012111 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000001012111 is an equidigital number, since it uses as much as digits as its factorization.

1000001012111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000001012111 its reverse (1112101000001), we get a palindrome (2112102012112).

It can be divided in two parts, 100000 and 1012111, that added together give a palindrome (1112111).

The spelling of 1000001012111 in words is "one trillion, one million, twelve thousand, one hundred eleven".