10011121223221 has 2 divisors, whose sum is σ = 10011121223222. Its totient is φ = 10011121223220.

The previous prime is 10011121223203. The next prime is 10011121223273. The reversal of 10011121223221 is 12232212111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7783597808100 + 2227523415121 = 2789910^2 + 1492489^2 .

It is an emirp because it is prime and its reverse (12232212111001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011121223221 is a prime.

It is a super-2 number, since 2×10011121223221² (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 (10011121223321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005560611610 + 5005560611611.

It is an arithmetic number, because the mean of its divisors is an integer number (5005560611611).

Almost surely, 2^{10011121223221} is an apocalyptic number.

It is an amenable number.

10011121223221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011121223221 is an equidigital number, since it uses as much as digits as its factorization.

10011121223221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10011121223221 its reverse (12232212111001), we get a palindrome (22243333334222).

The spelling of 10011121223221 in words is "ten trillion, eleven billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred twenty-one".