Search a number
-
+
2002210200101 is a prime number
BaseRepresentation
bin11101001000101101000…
…001110001101000100101
321002102001110201122112002
4131020231001301220211
5230301011302400401
64131445213135045
7264440430616106
oct35105501615045
97072043648462
102002210200101
11702150507941
1228406018a485
13116a66427697
146cc9c2243ad
1537137061a6b
hex1d22d071a25

2002210200101 has 2 divisors, whose sum is σ = 2002210200102. Its totient is φ = 2002210200100.

The previous prime is 2002210200091. The next prime is 2002210200103. The reversal of 2002210200101 is 1010020122002.

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., 1934188344001 + 68021856100 = 1390751^2 + 260810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002210200101 is a prime.

Together with 2002210200103, 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 (2002210200103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001105100050 + 1001105100051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001105100051).

Almost surely, 22002210200101 is an apocalyptic number.

It is an amenable number.

2002210200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002210200101 is an equidigital number, since it uses as much as digits as its factorization.

2002210200101 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.

Adding to 2002210200101 its reverse (1010020122002), we get a palindrome (3012230322103).

The spelling of 2002210200101 in words is "two trillion, two billion, two hundred ten million, two hundred thousand, one hundred one".