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202210002217121 is a prime number
BaseRepresentation
bin101101111110100010101111…
…010110100010100010100001
3222111222002100201200212110212
4231332202233112202202201
5203001002041031421441
61554021554222503505
760410122234234463
oct5576425726424241
9874862321625425
10202210002217121
1159480864714078
121a8197a0734b95
1388aa424127a92
1437d1032b34133
151859e2d68aeeb
hexb7e8af5a28a1

202210002217121 has 2 divisors, whose sum is σ = 202210002217122. Its totient is φ = 202210002217120.

The previous prime is 202210002217117. The next prime is 202210002217123. The reversal of 202210002217121 is 121712200012202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178354983311521 + 23855018905600 = 13354961^2 + 4884160^2 .

It is a cyclic number.

It is not a de Polignac number, because 202210002217121 - 22 = 202210002217117 is a prime.

Together with 202210002217123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (202210002217123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101105001108560 + 101105001108561.

It is an arithmetic number, because the mean of its divisors is an integer number (101105001108561).

Almost surely, 2202210002217121 is an apocalyptic number.

It is an amenable number.

202210002217121 is a deficient number, since it is larger than the sum of its proper divisors (1).

202210002217121 is an equidigital number, since it uses as much as digits as its factorization.

202210002217121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 202210002217121 its reverse (121712200012202), we get a palindrome (323922202229323).

The spelling of 202210002217121 in words is "two hundred two trillion, two hundred ten billion, two million, two hundred seventeen thousand, one hundred twenty-one".