100122011310221 has 2 divisors, whose sum is σ = 100122011310222. Its totient is φ = 100122011310220.

The previous prime is 100122011310169. The next prime is 100122011310247. The reversal of 100122011310221 is 122013110221001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99516805107721 + 605206202500 = 9975811^2 + 777950^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122011310221 - 2⁴⁶ = 29753267132557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122011310221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122011610221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061005655110 + 50061005655111.

It is an arithmetic number, because the mean of its divisors is an integer number (50061005655111).

Almost surely, 2^{100122011310221} is an apocalyptic number.

It is an amenable number.

100122011310221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122011310221 is an equidigital number, since it uses as much as digits as its factorization.

100122011310221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100122011310221 its reverse (122013110221001), we get a palindrome (222135121531222).

The spelling of 100122011310221 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, three hundred ten thousand, two hundred twenty-one".