10011121722221 has 2 divisors, whose sum is σ = 10011121722222. Its totient is φ = 10011121722220.

The previous prime is 10011121722193. The next prime is 10011121722299. The reversal of 10011121722221 is 12222712111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7387855599721 + 2623266122500 = 2718061^2 + 1619650^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011121722221 - 2¹⁸ = 10011121460077 is a prime.

It is a super-2 number, since 2×10011121722221² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011121742221) 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, 5005560861110 + 5005560861111.

It is an arithmetic number, because the mean of its divisors is an integer number (5005560861111).

Almost surely, 2^{10011121722221} is an apocalyptic number.

It is an amenable number.

10011121722221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011121722221 is an equidigital number, since it uses as much as digits as its factorization.

10011121722221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 10011121722221 its reverse (12222712111001), we get a palindrome (22233833833222).

The spelling of 10011121722221 in words is "ten trillion, eleven billion, one hundred twenty-one million, seven hundred twenty-two thousand, two hundred twenty-one".