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10002122197 is a prime number
BaseRepresentation
bin10010101000010110…
…00100010111010101
3221211001202110020021
421110023010113111
5130441020402242
64332300105141
7502601431054
oct112413042725
927731673207
1010002122197
114272a344a1
121b318351b1
13c35281402
146ac55639b
153d817bb67
hex2542c45d5

10002122197 has 2 divisors, whose sum is σ = 10002122198. Its totient is φ = 10002122196.

The previous prime is 10002122173. The next prime is 10002122209. The reversal of 10002122197 is 79122120001.

10002122197 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8728417476 + 1273704721 = 93426^2 + 35689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10002122197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002122147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001061098 + 5001061099.

It is an arithmetic number, because the mean of its divisors is an integer number (5001061099).

Almost surely, 210002122197 is an apocalyptic number.

It is an amenable number.

10002122197 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002122197 is an equidigital number, since it uses as much as digits as its factorization.

10002122197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 10002122197 its reverse (79122120001), we get a palindrome (89124242198).

The spelling of 10002122197 in words is "ten billion, two million, one hundred twenty-two thousand, one hundred ninety-seven".