Search a number
-
+
1021012001221 is a prime number
BaseRepresentation
bin11101101101110010000…
…11101100000111000101
310121121102002012200102111
432312321003230013011
5113212013033014341
62101014010341021
7133523425546552
oct16667103540705
93547362180374
101021012001221
11364010725463
12145a66a2a771
1375386523064
14375bacc1a29
151b85b284681
hexedb90ec1c5

1021012001221 has 2 divisors, whose sum is σ = 1021012001222. Its totient is φ = 1021012001220.

The previous prime is 1021012001183. The next prime is 1021012001227. The reversal of 1021012001221 is 1221002101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 921004896100 + 100007105121 = 959690^2 + 316239^2 .

It is an emirp because it is prime and its reverse (1221002101201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021012001221 - 29 = 1021012000709 is a prime.

It is a super-2 number, since 2×10210120012212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021012001227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510506000610 + 510506000611.

It is an arithmetic number, because the mean of its divisors is an integer number (510506000611).

Almost surely, 21021012001221 is an apocalyptic number.

It is an amenable number.

1021012001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021012001221 is an equidigital number, since it uses as much as digits as its factorization.

1021012001221 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 1021012001221 its reverse (1221002101201), we get a palindrome (2242014102422).

The spelling of 1021012001221 in words is "one trillion, twenty-one billion, twelve million, one thousand, two hundred twenty-one".