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10200122021 is a prime number
BaseRepresentation
bin10010111111111100…
…11000001010100101
3222022212022212221002
421133332120022211
5131342212401041
64404052003045
7510524415035
oct113776301245
928285285832
1010200122021
114364780711
121b88000485
13c672b817b
146ca9778c5
153ea73d59b
hex25ff982a5

10200122021 has 2 divisors, whose sum is σ = 10200122022. Its totient is φ = 10200122020.

The previous prime is 10200122011. The next prime is 10200122059. The reversal of 10200122021 is 12022100201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10177984996 + 22137025 = 100886^2 + 4705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10200122021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200121993 and 10200122011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100061010 + 5100061011.

It is an arithmetic number, because the mean of its divisors is an integer number (5100061011).

Almost surely, 210200122021 is an apocalyptic number.

It is an amenable number.

10200122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200122021 is an equidigital number, since it uses as much as digits as its factorization.

10200122021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200122021 its reverse (12022100201), we get a palindrome (22222222222).

The spelling of 10200122021 in words is "ten billion, two hundred million, one hundred twenty-two thousand, twenty-one".