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2002112212021 is a prime number
BaseRepresentation
bin11101001000100111001…
…011111110110000110101
321002101210122100100010221
4131020213023332300311
5230300311211241041
64131431353014341
7264435131003425
oct35104713766065
97071718310127
102002112212021
1170210016aa59
122840333b43b1
13116a4c03987c
146cc8d1d8485
153712d6582d1
hex1d2272fec35

2002112212021 has 2 divisors, whose sum is σ = 2002112212022. Its totient is φ = 2002112212020.

The previous prime is 2002112212019. The next prime is 2002112212039. The reversal of 2002112212021 is 1202122112002.

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., 2001913712100 + 198499921 = 1414890^2 + 14089^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112212021 - 21 = 2002112212019 is a prime.

Together with 2002112212019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2002112211986 and 2002112212004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002112218021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001056106010 + 1001056106011.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056106011).

Almost surely, 22002112212021 is an apocalyptic number.

It is an amenable number.

2002112212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112212021 is an equidigital number, since it uses as much as digits as its factorization.

2002112212021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2002112212021 its reverse (1202122112002), we get a palindrome (3204234324023).

The spelling of 2002112212021 in words is "two trillion, two billion, one hundred twelve million, two hundred twelve thousand, twenty-one".