10100202211181 has 2 divisors, whose sum is σ = 10100202211182. Its totient is φ = 10100202211180.

The previous prime is 10100202211139. The next prime is 10100202211241. The reversal of 10100202211181 is 18111220200101.

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., 7079106314281 + 3021095896900 = 2660659^2 + 1738130^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100202211181 - 2²² = 10100198016877 is a prime.

It is a super-2 number, since 2×10100202211181² (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 (10100202211481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050101105590 + 5050101105591.

It is an arithmetic number, because the mean of its divisors is an integer number (5050101105591).

Almost surely, 2^{10100202211181} is an apocalyptic number.

It is an amenable number.

10100202211181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100202211181 is an equidigital number, since it uses as much as digits as its factorization.

10100202211181 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 10100202211181 its reverse (18111220200101), we get a palindrome (28211422411282).

The spelling of 10100202211181 in words is "ten trillion, one hundred billion, two hundred two million, two hundred eleven thousand, one hundred eighty-one".