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200201112101 is a prime number
BaseRepresentation
bin1011101001110011101…
…0101000101000100101
3201010202100201020102202
42322130322220220211
511240002441041401
6231545432344245
720315112242444
oct2723472505045
9633670636382
10200201112101
11779a5343751
1232972b45085
1315b56ba5713
149992ab2d5b
15531ae4d06b
hex2e9cea8a25

200201112101 has 2 divisors, whose sum is σ = 200201112102. Its totient is φ = 200201112100.

The previous prime is 200201112077. The next prime is 200201112107. The reversal of 200201112101 is 101211102002.

200201112101 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., 134506296001 + 65694816100 = 366751^2 + 256310^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201112101 - 234 = 183021242917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200201112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100556050 + 100100556051.

It is an arithmetic number, because the mean of its divisors is an integer number (100100556051).

Almost surely, 2200201112101 is an apocalyptic number.

It is an amenable number.

200201112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201112101 is an equidigital number, since it uses as much as digits as its factorization.

200201112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200201112101 its reverse (101211102002), we get a palindrome (301412214103).

The spelling of 200201112101 in words is "two hundred billion, two hundred one million, one hundred twelve thousand, one hundred one".