1001006101111 has 2 divisors, whose sum is σ = 1001006101112. Its totient is φ = 1001006101110.

The previous prime is 1001006101087. The next prime is 1001006101133. The reversal of 1001006101111 is 1111016001001.

It is a strong prime.

It is an emirp because it is prime and its reverse (1111016001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001006101111 - 2¹¹ = 1001006099063 is a prime.

It is a super-2 number, since 2×1001006101111² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001006101091 and 1001006101100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001006105111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500503050555 + 500503050556.

It is an arithmetic number, because the mean of its divisors is an integer number (500503050556).

Almost surely, 2^{1001006101111} is an apocalyptic number.

1001006101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001006101111 is an equidigital number, since it uses as much as digits as its factorization.

1001006101111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

The spelling of 1001006101111 in words is "one trillion, one billion, six million, one hundred one thousand, one hundred eleven".