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200202102200101 is a prime number
BaseRepresentation
bin101101100001010100101111…
…001011110101011100100101
3222020212010121201120120110211
4231201110233023311130211
5202220102401130400401
61545443324233015421
760112060503551011
oct5541245713653445
9866763551516424
10200202102200101
1158877264485601
121a554612b54571
138792c91c89431
143761b94da5541
151822ab1d62951
hexb6152f2f5725

200202102200101 has 2 divisors, whose sum is σ = 200202102200102. Its totient is φ = 200202102200100.

The previous prime is 200202102199987. The next prime is 200202102200183. The reversal of 200202102200101 is 101002201202002.

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., 110152896390625 + 90049205809476 = 10495375^2 + 9489426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200202102200101 is a prime.

It is a super-3 number, since 3×2002021022001013 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200202102200501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100101051100050 + 100101051100051.

It is an arithmetic number, because the mean of its divisors is an integer number (100101051100051).

Almost surely, 2200202102200101 is an apocalyptic number.

It is an amenable number.

200202102200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200202102200101 is an equidigital number, since it uses as much as digits as its factorization.

200202102200101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200202102200101 its reverse (101002201202002), we get a palindrome (301204303402103).

The spelling of 200202102200101 in words is "two hundred trillion, two hundred two billion, one hundred two million, two hundred thousand, one hundred one".