100210202002241 has 2 divisors, whose sum is σ = 100210202002242. Its totient is φ = 100210202002240.

The previous prime is 100210202002193. The next prime is 100210202002279. The reversal of 100210202002241 is 142200202012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100204184121616 + 6017880625 = 10010204^2 + 77575^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210202002241 - 2¹⁸ = 100210201740097 is a prime.

It is a super-2 number, since 2×100210202002241² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100210202007241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105101001120 + 50105101001121.

It is an arithmetic number, because the mean of its divisors is an integer number (50105101001121).

Almost surely, 2^{100210202002241} is an apocalyptic number.

It is an amenable number.

100210202002241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210202002241 is an equidigital number, since it uses as much as digits as its factorization.

100210202002241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100210202002241 its reverse (142200202012001), we get a palindrome (242410404014242).

The spelling of 100210202002241 in words is "one hundred trillion, two hundred ten billion, two hundred two million, two thousand, two hundred forty-one".