100211100120221 has 2 divisors, whose sum is σ = 100211100120222. Its totient is φ = 100211100120220.

The previous prime is 100211100120203. The next prime is 100211100120343. The reversal of 100211100120221 is 122021001112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99042085056121 + 1169015064100 = 9951989^2 + 1081210^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211100120221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100211100120196 and 100211100120205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211100120821) 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, 50105550060110 + 50105550060111.

It is an arithmetic number, because the mean of its divisors is an integer number (50105550060111).

Almost surely, 2^{100211100120221} is an apocalyptic number.

It is an amenable number.

100211100120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211100120221 is an equidigital number, since it uses as much as digits as its factorization.

100211100120221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211100120221 its reverse (122021001112001), we get a palindrome (222232101232222).

The spelling of 100211100120221 in words is "one hundred trillion, two hundred eleven billion, one hundred million, one hundred twenty thousand, two hundred twenty-one".