10001120221181 has 2 divisors, whose sum is σ = 10001120221182. Its totient is φ = 10001120221180.

The previous prime is 10001120221163. The next prime is 10001120221219. The reversal of 10001120221181 is 18112202110001.

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., 8038784325625 + 1962335895556 = 2835275^2 + 1400834^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001120221181 - 2¹⁴ = 10001120204797 is a prime.

It is a super-2 number, since 2×10001120221181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001120221681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560110590 + 5000560110591.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560110591).

Almost surely, 2^{10001120221181} is an apocalyptic number.

It is an amenable number.

10001120221181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001120221181 is an equidigital number, since it uses as much as digits as its factorization.

10001120221181 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 20.

Adding to 10001120221181 its reverse (18112202110001), we get a palindrome (28113322331182).

The spelling of 10001120221181 in words is "ten trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred eighty-one".