1100201121181 has 2 divisors, whose sum is σ = 1100201121182. Its totient is φ = 1100201121180.

The previous prime is 1100201121179. The next prime is 1100201121191. The reversal of 1100201121181 is 1811211020011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 556650288100 + 543550833081 = 746090^2 + 737259^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100201121181 - 2¹ = 1100201121179 is a prime.

It is a super-2 number, since 2×1100201121181² (a number of 25 digits) contains 22 as substring.

Together with 1100201121179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100201121101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550100560590 + 550100560591.

It is an arithmetic number, because the mean of its divisors is an integer number (550100560591).

Almost surely, 2^{1100201121181} is an apocalyptic number.

It is an amenable number.

1100201121181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100201121181 is an equidigital number, since it uses as much as digits as its factorization.

1100201121181 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 19.

Adding to 1100201121181 its reverse (1811211020011), we get a palindrome (2911412141192).

The spelling of 1100201121181 in words is "one trillion, one hundred billion, two hundred one million, one hundred twenty-one thousand, one hundred eighty-one".