Search a number
-
+
10200120121021 is a prime number
BaseRepresentation
bin1001010001101110011010…
…0010010101011010111101
31100010010021220112201101111
42110123212202111122331
52314104321222333041
633405512005442021
72101635325325335
oct224334642253275
940103256481344
1010200120121021
113282934989996
121188a27710311
1358cb3731470c
1427398d15c0c5
1512a4ddbe3981
hex946e68956bd

10200120121021 has 2 divisors, whose sum is σ = 10200120121022. Its totient is φ = 10200120121020.

The previous prime is 10200120121001. The next prime is 10200120121123. The reversal of 10200120121021 is 12012102100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6020098980921 + 4180021140100 = 2453589^2 + 2044510^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200120121021 - 227 = 10199985903293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200120120992 and 10200120121010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200120121001) 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, 5100060060510 + 5100060060511.

It is an arithmetic number, because the mean of its divisors is an integer number (5100060060511).

Almost surely, 210200120121021 is an apocalyptic number.

It is an amenable number.

10200120121021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200120121021 is an equidigital number, since it uses as much as digits as its factorization.

10200120121021 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 13.

Adding to 10200120121021 its reverse (12012102100201), we get a palindrome (22212222221222).

The spelling of 10200120121021 in words is "ten trillion, two hundred billion, one hundred twenty million, one hundred twenty-one thousand, twenty-one".