11111111112001 has 2 divisors, whose sum is σ = 11111111112002. Its totient is φ = 11111111112000.

The previous prime is 11111111111993. The next prime is 11111111112047. The reversal of 11111111112001 is 10021111111111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7997470880400 + 3113640231601 = 2827980^2 + 1764551^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111111112001 - 2³ = 11111111111993 is a prime.

It is not a weakly prime, because it can be changed into another prime (11111111112061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555555556000 + 5555555556001.

It is an arithmetic number, because the mean of its divisors is an integer number (5555555556001).

Almost surely, 2^{11111111112001} is an apocalyptic number.

It is an amenable number.

11111111112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111111112001 is an equidigital number, since it uses as much as digits as its factorization.

11111111112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 11111111112001 its reverse (10021111111111), we get a palindrome (21132222223112).

The spelling of 11111111112001 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, one".