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900222120121 is a prime number
BaseRepresentation
bin11010001100110010110…
…10110111000010111001
310012001122000201221202111
431012121122313002321
5104222123330320441
61525320100132321
7122016225524032
oct15063132670271
93161560657674
10900222120121
11317866a10a45
121265766970a1
1366b767b982c
14317dcac5a89
151863bca5081
hexd1996b70b9

900222120121 has 2 divisors, whose sum is σ = 900222120122. Its totient is φ = 900222120120.

The previous prime is 900222120107. The next prime is 900222120131. The reversal of 900222120121 is 121021222009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 874204430121 + 26017690000 = 934989^2 + 161300^2 .

It is an emirp because it is prime and its reverse (121021222009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 900222120121 - 211 = 900222118073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 900222120092 and 900222120101.

It is not a weakly prime, because it can be changed into another prime (900222120101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450111060060 + 450111060061.

It is an arithmetic number, because the mean of its divisors is an integer number (450111060061).

Almost surely, 2900222120121 is an apocalyptic number.

It is an amenable number.

900222120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

900222120121 is an equidigital number, since it uses as much as digits as its factorization.

900222120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 900222120121 in words is "nine hundred billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".