100222201102181 has 2 divisors, whose sum is σ = 100222201102182. Its totient is φ = 100222201102180.

The previous prime is 100222201102147. The next prime is 100222201102201. The reversal of 100222201102181 is 181201102222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98724771649156 + 1497429453025 = 9936034^2 + 1223695^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222201102181 - 2³⁰ = 100221127360357 is a prime.

It is a super-4 number, since 4×100222201102181⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222201102141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111100551090 + 50111100551091.

It is an arithmetic number, because the mean of its divisors is an integer number (50111100551091).

Almost surely, 2^{100222201102181} is an apocalyptic number.

It is an amenable number.

100222201102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222201102181 is an equidigital number, since it uses as much as digits as its factorization.

100222201102181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 100222201102181 its reverse (181201102222001), we get a palindrome (281423303324182).

The spelling of 100222201102181 in words is "one hundred trillion, two hundred twenty-two billion, two hundred one million, one hundred two thousand, one hundred eighty-one".