10121122200221 has 2 divisors, whose sum is σ = 10121122200222. Its totient is φ = 10121122200220.

The previous prime is 10121122200193. The next prime is 10121122200247. The reversal of 10121122200221 is 12200222112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7157952439225 + 2963169760996 = 2675435^2 + 1721386^2 .

It is an emirp because it is prime and its reverse (12200222112101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121122200221 is a prime.

It is a super-2 number, since 2×10121122200221² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10121122200221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121122200121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060561100110 + 5060561100111.

It is an arithmetic number, because the mean of its divisors is an integer number (5060561100111).

Almost surely, 2^{10121122200221} is an apocalyptic number.

It is an amenable number.

10121122200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121122200221 is an equidigital number, since it uses as much as digits as its factorization.

10121122200221 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 10121122200221 its reverse (12200222112101), we get a palindrome (22321344312322).

The spelling of 10121122200221 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-one".