10100120100221 has 2 divisors, whose sum is σ = 10100120100222. Its totient is φ = 10100120100220.

The previous prime is 10100120100053. The next prime is 10100120100233. The reversal of 10100120100221 is 12200102100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9610861819321 + 489258280900 = 3100139^2 + 699470^2 .

It is an emirp because it is prime and its reverse (12200102100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100120100221 - 2³⁰ = 10099046358397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100120100241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060050110 + 5050060050111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060050111).

Almost surely, 2^{10100120100221} is an apocalyptic number.

It is an amenable number.

10100120100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100120100221 is an equidigital number, since it uses as much as digits as its factorization.

10100120100221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100120100221 its reverse (12200102100101), we get a palindrome (22300222200322).

The spelling of 10100120100221 in words is "ten trillion, one hundred billion, one hundred twenty million, one hundred thousand, two hundred twenty-one".