2100221001181 has 2 divisors, whose sum is σ = 2100221001182. Its totient is φ = 2100221001180.

The previous prime is 2100221001121. The next prime is 2100221001211. The reversal of 2100221001181 is 1811001220012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1717499365156 + 382721636025 = 1310534^2 + 618645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100221001181 is a prime.

It is a super-2 number, since 2×2100221001181² (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 (2100221001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050110500590 + 1050110500591.

It is an arithmetic number, because the mean of its divisors is an integer number (1050110500591).

Almost surely, 2^{2100221001181} is an apocalyptic number.

It is an amenable number.

2100221001181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100221001181 is an equidigital number, since it uses as much as digits as its factorization.

2100221001181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 2100221001181 its reverse (1811001220012), we get a palindrome (3911222221193).

The spelling of 2100221001181 in words is "two trillion, one hundred billion, two hundred twenty-one million, one thousand, one hundred eighty-one".