200022012012101 has 2 divisors, whose sum is σ = 200022012012102. Its totient is φ = 200022012012100.

The previous prime is 200022012012059. The next prime is 200022012012103. The reversal of 200022012012101 is 101210210220002.

200022012012101 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., 132734017050625 + 67287994961476 = 11521025^2 + 8202926^2 .

It is a cyclic number.

It is not a de Polignac number, because 200022012012101 - 2³⁴ = 200004832142917 is a prime.

Together with 200022012012103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200022012012103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100011006006050 + 100011006006051.

It is an arithmetic number, because the mean of its divisors is an integer number (100011006006051).

Almost surely, 2^{200022012012101} is an apocalyptic number.

It is an amenable number.

200022012012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200022012012101 is an equidigital number, since it uses as much as digits as its factorization.

200022012012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200022012012101 its reverse (101210210220002), we get a palindrome (301232222232103).

The spelling of 200022012012101 in words is "two hundred trillion, twenty-two billion, twelve million, twelve thousand, one hundred one".