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202000011000101 is a prime number
BaseRepresentation
bin101101111011011111001010…
…111001100111100100100101
3222111020000100002011202211122
4231323133022321213210211
5202434032010304000401
61553341305102143325
760356006403316046
oct5573371271474445
9874200302152748
10202000011000101
11593aa7a6097726
121a7a4b56b81b45
138893699ba5092
1437c4bd1b388cd
15185473cee121b
hexb7b7cae67925

202000011000101 has 2 divisors, whose sum is σ = 202000011000102. Its totient is φ = 202000011000100.

The previous prime is 202000011000089. The next prime is 202000011000121. The reversal of 202000011000101 is 101000110000202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108631737249025 + 93368273751076 = 10422655^2 + 9662726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202000011000101 is a prime.

It is a super-3 number, since 3×2020000110001013 (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 (202000011000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101000005500050 + 101000005500051.

It is an arithmetic number, because the mean of its divisors is an integer number (101000005500051).

Almost surely, 2202000011000101 is an apocalyptic number.

It is an amenable number.

202000011000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202000011000101 is an equidigital number, since it uses as much as digits as its factorization.

202000011000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 202000011000101 its reverse (101000110000202), we get a palindrome (303000121000303).

The spelling of 202000011000101 in words is "two hundred two trillion, eleven million, one hundred one", and thus it is an aban number.