1001102112011 has 2 divisors, whose sum is σ = 1001102112012. Its totient is φ = 1001102112010.

The previous prime is 1001102112001. The next prime is 1001102112041. The reversal of 1001102112011 is 1102112011001.

It is a weak prime.

It is an emirp because it is prime and its reverse (1102112011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001102112011 - 2²⁶ = 1001035003147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001102111983 and 1001102112001.

It is not a weakly prime, because it can be changed into another prime (1001102112001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500551056005 + 500551056006.

It is an arithmetic number, because the mean of its divisors is an integer number (500551056006).

Almost surely, 2^{1001102112011} is an apocalyptic number.

1001102112011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102112011 is an equidigital number, since it uses as much as digits as its factorization.

1001102112011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001102112011 its reverse (1102112011001), we get a palindrome (2103214123012).

The spelling of 1001102112011 in words is "one trillion, one billion, one hundred two million, one hundred twelve thousand, eleven".