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200101121201819 is a prime number
BaseRepresentation
bin101101011111110110101100…
…001111111001011010011011
3222020111110222012000100120102
4231133312230033321122123
5202211424044011424234
61545325104103450015
760101554215332135
oct5537665417713233
9866443865010512
10200101121201819
1158838455324a22
121a538b3075690b
1387865bb163746
14375ad35942055
15182015194bc7e
hexb5fdac3f969b

200101121201819 has 2 divisors, whose sum is σ = 200101121201820. Its totient is φ = 200101121201818.

The previous prime is 200101121201809. The next prime is 200101121201837. The reversal of 200101121201819 is 918102121101002.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 200101121201819 - 216 = 200101121136283 is a prime.

It is a super-2 number, since 2×2001011212018192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200101121201791 and 200101121201800.

It is not a weakly prime, because it can be changed into another prime (200101121201809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050560600909 + 100050560600910.

It is an arithmetic number, because the mean of its divisors is an integer number (100050560600910).

Almost surely, 2200101121201819 is an apocalyptic number.

200101121201819 is a deficient number, since it is larger than the sum of its proper divisors (1).

200101121201819 is an equidigital number, since it uses as much as digits as its factorization.

200101121201819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 200101121201819 in words is "two hundred trillion, one hundred one billion, one hundred twenty-one million, two hundred one thousand, eight hundred nineteen".