100110022102241 has 2 divisors, whose sum is σ = 100110022102242. Its totient is φ = 100110022102240.

The previous prime is 100110022102177. The next prime is 100110022102253. The reversal of 100110022102241 is 142201220011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94920300717025 + 5189721385216 = 9742705^2 + 2278096^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110022102241 - 2⁶ = 100110022102177 is a prime.

It is a super-2 number, since 2×100110022102241² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110022102841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055011051120 + 50055011051121.

It is an arithmetic number, because the mean of its divisors is an integer number (50055011051121).

Almost surely, 2^{100110022102241} is an apocalyptic number.

It is an amenable number.

100110022102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110022102241 is an equidigital number, since it uses as much as digits as its factorization.

100110022102241 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 17.

Adding to 100110022102241 its reverse (142201220011001), we get a palindrome (242311242113242).

The spelling of 100110022102241 in words is "one hundred trillion, one hundred ten billion, twenty-two million, one hundred two thousand, two hundred forty-one".