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10221011212121 is a prime number
BaseRepresentation
bin1001010010111100001110…
…1111100001011101011001
31100012010012211211002211022
42110233003233201131121
52314430112332241441
633423245010212225
72103305120554433
oct224570357413531
940163184732738
1010221011212121
113290785405936
121190a97b84075
13591ab64b6998
142749b1921653
1512ad12ccb84b
hex94bc3be1759

10221011212121 has 2 divisors, whose sum is σ = 10221011212122. Its totient is φ = 10221011212120.

The previous prime is 10221011212079. The next prime is 10221011212199. The reversal of 10221011212121 is 12121211012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8009262244096 + 2211748968025 = 2830064^2 + 1487195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221011212121 is a prime.

It is a super-3 number, since 3×102210112121213 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221011212121.

It is not a weakly prime, because it can be changed into another prime (10221011212721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505606060 + 5110505606061.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505606061).

Almost surely, 210221011212121 is an apocalyptic number.

It is an amenable number.

10221011212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221011212121 is an equidigital number, since it uses as much as digits as its factorization.

10221011212121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10221011212121 its reverse (12121211012201), we get a palindrome (22342222224322).

The spelling of 10221011212121 in words is "ten trillion, two hundred twenty-one billion, eleven million, two hundred twelve thousand, one hundred twenty-one".