100222100210041 has 2 divisors, whose sum is σ = 100222100210042. Its totient is φ = 100222100210040.

The previous prime is 100222100210039. The next prime is 100222100210131. The reversal of 100222100210041 is 140012001222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62558054703225 + 37664045506816 = 7909365^2 + 6137104^2 .

It is an emirp because it is prime and its reverse (140012001222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100222100210041 - 2¹ = 100222100210039 is a prime.

Together with 100222100210039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100222100209997 and 100222100210024.

It is not a weakly prime, because it can be changed into another prime (100222100210641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111050105020 + 50111050105021.

It is an arithmetic number, because the mean of its divisors is an integer number (50111050105021).

Almost surely, 2^{100222100210041} is an apocalyptic number.

It is an amenable number.

100222100210041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222100210041 is an equidigital number, since it uses as much as digits as its factorization.

100222100210041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222100210041 its reverse (140012001222001), we get a palindrome (240234101432042).

The spelling of 100222100210041 in words is "one hundred trillion, two hundred twenty-two billion, one hundred million, two hundred ten thousand, forty-one".