2000012202101 has 2 divisors, whose sum is σ = 2000012202102. Its totient is φ = 2000012202100.

The previous prime is 2000012202077. The next prime is 2000012202103. The reversal of 2000012202101 is 1012022100002.

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., 1804428024100 + 195584178001 = 1343290^2 + 442249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000012202101 is a prime.

Together with 2000012202103, 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 (2000012202103) 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, 1000006101050 + 1000006101051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000006101051).

Almost surely, 2^{2000012202101} is an apocalyptic number.

It is an amenable number.

2000012202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000012202101 is an equidigital number, since it uses as much as digits as its factorization.

2000012202101 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 11.

Adding to 2000012202101 its reverse (1012022100002), we get a palindrome (3012034302103).

The spelling of 2000012202101 in words is "two trillion, twelve million, two hundred two thousand, one hundred one".