10011101221181 has 2 divisors, whose sum is σ = 10011101221182. Its totient is φ = 10011101221180.

The previous prime is 10011101221153. The next prime is 10011101221183. The reversal of 10011101221181 is 18112210111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7406398960900 + 2604702260281 = 2721470^2 + 1613909^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011101221181 is a prime.

It is a super-2 number, since 2×10011101221181² (a number of 27 digits) contains 22 as substring.

Together with 10011101221183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011101221183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005550610590 + 5005550610591.

It is an arithmetic number, because the mean of its divisors is an integer number (5005550610591).

Almost surely, 2^{10011101221181} is an apocalyptic number.

It is an amenable number.

10011101221181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011101221181 is an equidigital number, since it uses as much as digits as its factorization.

10011101221181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 10011101221181 its reverse (18112210111001), we get a palindrome (28123311332182).

The spelling of 10011101221181 in words is "ten trillion, eleven billion, one hundred one million, two hundred twenty-one thousand, one hundred eighty-one".