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10221220201121 is a prime number
BaseRepresentation
bin1001010010111101000000…
…1100110000001010100001
31100012010202102001211211122
42110233100030300022201
52314431024332413441
633423321433422025
72103313236131006
oct224572014601241
940163672054748
1010221220201121
113290882378416
121190b35b6a915
13591b1a89a607
142749d15a38ad
1512ad2630e34b
hex94bd03302a1

10221220201121 has 2 divisors, whose sum is σ = 10221220201122. Its totient is φ = 10221220201120.

The previous prime is 10221220201103. The next prime is 10221220201141. The reversal of 10221220201121 is 12110202212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9671701924096 + 549518277025 = 3109936^2 + 741295^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221220201121 - 210 = 10221220200097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221220201121.

It is not a weakly prime, because it can be changed into another prime (10221220201141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110610100560 + 5110610100561.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610100561).

Almost surely, 210221220201121 is an apocalyptic number.

It is an amenable number.

10221220201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221220201121 is an equidigital number, since it uses as much as digits as its factorization.

10221220201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221220201121 its reverse (12110202212201), we get a palindrome (22331422413322).

The spelling of 10221220201121 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred one thousand, one hundred twenty-one".