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2021202101 is a prime number
BaseRepresentation
bin111100001111001…
…0001100010110101
312012212020201001002
41320132101202311
513114411431401
6532321213045
7101041635332
oct17036214265
95185221032
102021202101
11947a09066
12484a91185
1326298b999
14152617989
15bc69ea6b
hex787918b5

2021202101 has 2 divisors, whose sum is σ = 2021202102. Its totient is φ = 2021202100.

The previous prime is 2021202047. The next prime is 2021202103. The reversal of 2021202101 is 1012021202.

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., 1719346225 + 301855876 = 41465^2 + 17374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2021202101 is a prime.

It is a Sophie Germain prime.

Together with 2021202103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2021202103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010601050 + 1010601051.

It is an arithmetic number, because the mean of its divisors is an integer number (1010601051).

Almost surely, 22021202101 is an apocalyptic number.

It is an amenable number.

2021202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021202101 is an equidigital number, since it uses as much as digits as its factorization.

2021202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2021202101 is about 44957.7813175873. The cubic root of 2021202101 is about 1264.3575715945.

Adding to 2021202101 its reverse (1012021202), we get a palindrome (3033223303).

It can be divided in two parts, 2021202 and 101, that multiplied together give a palindrome (204141402).

The spelling of 2021202101 in words is "two billion, twenty-one million, two hundred two thousand, one hundred one".