210201121200113 has 2 divisors, whose sum is σ = 210201121200114. Its totient is φ = 210201121200112.

The previous prime is 210201121200047. The next prime is 210201121200139. The reversal of 210201121200113 is 311002121102012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203477015824369 + 6724105375744 = 14264537^2 + 2593088^2 .

It is a cyclic number.

It is not a de Polignac number, because 210201121200113 - 2¹⁰ = 210201121199089 is a prime.

It is a super-2 number, since 2×210201121200113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210201121200091 and 210201121200100.

It is not a weakly prime, because it can be changed into another prime (210201121200163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105100560600056 + 105100560600057.

It is an arithmetic number, because the mean of its divisors is an integer number (105100560600057).

Almost surely, 2^{210201121200113} is an apocalyptic number.

It is an amenable number.

210201121200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210201121200113 is an equidigital number, since it uses as much as digits as its factorization.

210201121200113 is an evil number, because the sum of its binary digits is even.

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

Adding to 210201121200113 its reverse (311002121102012), we get a palindrome (521203242302125).

The spelling of 210201121200113 in words is "two hundred ten trillion, two hundred one billion, one hundred twenty-one million, two hundred thousand, one hundred thirteen".