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10220000212129 is a prime number
BaseRepresentation
bin1001010010111000011101…
…1110110111010010100001
31100012000121101102222120011
42110232013132313102201
52314421030023242004
633423000413044521
72103241063320541
oct224560736672241
940160541388504
1010220000212129
113290306759654
121190855486741
13591984bc7a36
1427491754d321
1512aca4176004
hex94b877b74a1

10220000212129 has 2 divisors, whose sum is σ = 10220000212130. Its totient is φ = 10220000212128.

The previous prime is 10220000212111. The next prime is 10220000212141. The reversal of 10220000212129 is 92121200002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9713444889600 + 506555322529 = 3116640^2 + 711727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10220000212129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220000252129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110000106064 + 5110000106065.

It is an arithmetic number, because the mean of its divisors is an integer number (5110000106065).

Almost surely, 210220000212129 is an apocalyptic number.

It is an amenable number.

10220000212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220000212129 is an equidigital number, since it uses as much as digits as its factorization.

10220000212129 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 10220000212129 in words is "ten trillion, two hundred twenty billion, two hundred twelve thousand, one hundred twenty-nine".