10222122021101 has 2 divisors, whose sum is σ = 10222122021102. Its totient is φ = 10222122021100.

The previous prime is 10222122021073. The next prime is 10222122021109. The reversal of 10222122021101 is 10112022122201.

10222122021101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10159684505476 + 62437515625 = 3187426^2 + 249875^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222122021101 - 2⁴² = 5824075509997 is a prime.

It is a super-2 number, since 2×10222122021101² (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 10222122021101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222122021109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111061010550 + 5111061010551.

It is an arithmetic number, because the mean of its divisors is an integer number (5111061010551).

Almost surely, 2^{10222122021101} is an apocalyptic number.

It is an amenable number.

10222122021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222122021101 is an equidigital number, since it uses as much as digits as its factorization.

10222122021101 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 10222122021101 its reverse (10112022122201), we get a palindrome (20334144143302).

The spelling of 10222122021101 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, one hundred one".