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202002120000101 is a prime number
BaseRepresentation
bin101101111011100001001000…
…100110110100001001100101
3222111020012210001122001221202
4231323201020212310021211
5202434100320210000401
61553342254241252245
760356112562446101
oct5573411046641145
9874205701561852
10202002120000101
1159400688612633
121a7a5445334085
138893944ac4585
1437c4d51c88901
15185481323506b
hexb7b8489b4265

202002120000101 has 2 divisors, whose sum is σ = 202002120000102. Its totient is φ = 202002120000100.

The previous prime is 202002120000089. The next prime is 202002120000167. The reversal of 202002120000101 is 101000021200202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201229828802500 + 772291197601 = 14185550^2 + 878801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202002120000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202002120000181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101001060000050 + 101001060000051.

It is an arithmetic number, because the mean of its divisors is an integer number (101001060000051).

Almost surely, 2202002120000101 is an apocalyptic number.

It is an amenable number.

202002120000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202002120000101 is an equidigital number, since it uses as much as digits as its factorization.

202002120000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202002120000101 its reverse (101000021200202), we get a palindrome (303002141200303).

The spelling of 202002120000101 in words is "two hundred two trillion, two billion, one hundred twenty million, one hundred one", and thus it is an aban number.