100210133333221 has 2 divisors, whose sum is σ = 100210133333222. Its totient is φ = 100210133333220.

The previous prime is 100210133333203. The next prime is 100210133333237. The reversal of 100210133333221 is 122333331012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97849408636996 + 2360724696225 = 9891886^2 + 1536465^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210133333221 - 2³⁹ = 99660377519333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210133333281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105066666610 + 50105066666611.

It is an arithmetic number, because the mean of its divisors is an integer number (50105066666611).

Almost surely, 2^{100210133333221} is an apocalyptic number.

It is an amenable number.

100210133333221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210133333221 is an equidigital number, since it uses as much as digits as its factorization.

100210133333221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 100210133333221 its reverse (122333331012001), we get a palindrome (222543464345222).

The spelling of 100210133333221 in words is "one hundred trillion, two hundred ten billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred twenty-one".