10012121022221 has 2 divisors, whose sum is σ = 10012121022222. Its totient is φ = 10012121022220.

The previous prime is 10012121022199. The next prime is 10012121022257. The reversal of 10012121022221 is 12222012121001.

10012121022221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9891899329321 + 120221692900 = 3145139^2 + 346730^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012121022221 - 2³⁴ = 9994941153037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10012121022221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012121022121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006060511110 + 5006060511111.

It is an arithmetic number, because the mean of its divisors is an integer number (5006060511111).

Almost surely, 2^{10012121022221} is an apocalyptic number.

It is an amenable number.

10012121022221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012121022221 is an equidigital number, since it uses as much as digits as its factorization.

10012121022221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10012121022221 its reverse (12222012121001), we get a palindrome (22234133143222).

The spelling of 10012121022221 in words is "ten trillion, twelve billion, one hundred twenty-one million, twenty-two thousand, two hundred twenty-one".