201122021100113 has 2 divisors, whose sum is σ = 201122021100114. Its totient is φ = 201122021100112.

The previous prime is 201122021100097. The next prime is 201122021100149. The reversal of 201122021100113 is 311001120221102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197864256014929 + 3257765085184 = 14066423^2 + 1804928^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122021100113 - 2⁴ = 201122021100097 is a prime.

It is a super-2 number, since 2×201122021100113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201122021100091 and 201122021100100.

It is not a weakly prime, because it can be changed into another prime (201122021100313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561010550056 + 100561010550057.

It is an arithmetic number, because the mean of its divisors is an integer number (100561010550057).

Almost surely, 2^{201122021100113} is an apocalyptic number.

It is an amenable number.

201122021100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122021100113 is an equidigital number, since it uses as much as digits as its factorization.

201122021100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 201122021100113 its reverse (311001120221102), we get a palindrome (512123141321215).

The spelling of 201122021100113 in words is "two hundred one trillion, one hundred twenty-two billion, twenty-one million, one hundred thousand, one hundred thirteen".