1011011022181 has 2 divisors, whose sum is σ = 1011011022182. Its totient is φ = 1011011022180.

The previous prime is 1011011022083. The next prime is 1011011022257. The reversal of 1011011022181 is 1812201101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 824084499681 + 186926522500 = 907791^2 + 432350^2 .

It is an emirp because it is prime and its reverse (1812201101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011011022181 - 2⁷ = 1011011022053 is a prime.

It is a super-2 number, since 2×1011011022181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011011022781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505511090 + 505505511091.

It is an arithmetic number, because the mean of its divisors is an integer number (505505511091).

Almost surely, 2^{1011011022181} is an apocalyptic number.

It is an amenable number.

1011011022181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011022181 is an equidigital number, since it uses as much as digits as its factorization.

1011011022181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 1011011022181 its reverse (1812201101101), we get a palindrome (2823212123282).

The spelling of 1011011022181 in words is "one trillion, eleven billion, eleven million, twenty-two thousand, one hundred eighty-one".