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21121020300301 is a prime number
BaseRepresentation
bin1001100110101100111101…
…11010011000110000001101
32202210011001012221011112021
410303112132322120300031
510232021322144102201
6112530510205410141
74306641400243525
oct463263672306015
982704035834467
1021121020300301
116803413376839
12245148ab69951
13ba291bc60b0c
14530397320685
15269615e43ea1
hex13359ee98c0d

21121020300301 has 2 divisors, whose sum is σ = 21121020300302. Its totient is φ = 21121020300300.

The previous prime is 21121020300269. The next prime is 21121020300307. The reversal of 21121020300301 is 10300302012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20678164655625 + 442855644676 = 4547325^2 + 665474^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121020300301 - 25 = 21121020300269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21121020300307) 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, 10560510150150 + 10560510150151.

It is an arithmetic number, because the mean of its divisors is an integer number (10560510150151).

Almost surely, 221121020300301 is an apocalyptic number.

It is an amenable number.

21121020300301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121020300301 is an equidigital number, since it uses as much as digits as its factorization.

21121020300301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21121020300301 its reverse (10300302012112), we get a palindrome (31421322312413).

The spelling of 21121020300301 in words is "twenty-one trillion, one hundred twenty-one billion, twenty million, three hundred thousand, three hundred one".