200021101100113 has 2 divisors, whose sum is σ = 200021101100114. Its totient is φ = 200021101100112.

The previous prime is 200021101100077. The next prime is 200021101100159. The reversal of 200021101100113 is 311001101120002.

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., 136706886077584 + 63314215022529 = 11692172^2 + 7957023^2 .

It is a cyclic number.

It is not a de Polignac number, because 200021101100113 - 2²⁵ = 200021067545681 is a prime.

It is a super-2 number, since 2×200021101100113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200021101100093 and 200021101100102.

It is not a weakly prime, because it can be changed into another prime (200021101101113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100010550550056 + 100010550550057.

It is an arithmetic number, because the mean of its divisors is an integer number (100010550550057).

Almost surely, 2^{200021101100113} is an apocalyptic number.

It is an amenable number.

200021101100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

200021101100113 is an equidigital number, since it uses as much as digits as its factorization.

200021101100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 200021101100113 its reverse (311001101120002), we get a palindrome (511022202220115).

The spelling of 200021101100113 in words is "two hundred trillion, twenty-one billion, one hundred one million, one hundred thousand, one hundred thirteen".