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200121100220117 is a prime number
BaseRepresentation
bin101101100000001001010011…
…000101110011011011010101
3222020120101112120001122100002
4231200021103011303123111
5202212241003124020432
61545342210403301045
760103162264230656
oct5540112305633325
9866511476048302
10200121100220117
1158845977a2309a
121a54098767a785
1387884533a316b
14375bcad12552d
151820920920e62
hexb602531736d5

200121100220117 has 2 divisors, whose sum is σ = 200121100220118. Its totient is φ = 200121100220116.

The previous prime is 200121100220089. The next prime is 200121100220143. The reversal of 200121100220117 is 711022001121002.

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., 187734966092881 + 12386134127236 = 13701641^2 + 3519394^2 .

It is a cyclic number.

It is not a de Polignac number, because 200121100220117 - 216 = 200121100154581 is a prime.

It is a super-2 number, since 2×2001211002201172 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200121100220317) 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, 100060550110058 + 100060550110059.

It is an arithmetic number, because the mean of its divisors is an integer number (100060550110059).

Almost surely, 2200121100220117 is an apocalyptic number.

It is an amenable number.

200121100220117 is a deficient number, since it is larger than the sum of its proper divisors (1).

200121100220117 is an equidigital number, since it uses as much as digits as its factorization.

200121100220117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 200121100220117 its reverse (711022001121002), we get a palindrome (911143101341119).

The spelling of 200121100220117 in words is "two hundred trillion, one hundred twenty-one billion, one hundred million, two hundred twenty thousand, one hundred seventeen".