10022210112001 has 2 divisors, whose sum is σ = 10022210112002. Its totient is φ = 10022210112000.

The previous prime is 10022210111899. The next prime is 10022210112023. The reversal of 10022210112001 is 10021101222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8429121857025 + 1593088254976 = 2903295^2 + 1262176^2 .

It is an emirp because it is prime and its reverse (10021101222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10022210112001 - 2²¹ = 10022208014849 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022210112071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011105056000 + 5011105056001.

It is an arithmetic number, because the mean of its divisors is an integer number (5011105056001).

Almost surely, 2^{10022210112001} is an apocalyptic number.

It is an amenable number.

10022210112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022210112001 is an equidigital number, since it uses as much as digits as its factorization.

10022210112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022210112001 its reverse (10021101222001), we get a palindrome (20043311334002).

Subtracting from 10022210112001 its reverse (10021101222001), we obtain a square (1108890000 = 33300²).

The spelling of 10022210112001 in words is "ten trillion, twenty-two billion, two hundred ten million, one hundred twelve thousand, one".