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1010021021 is a prime number
BaseRepresentation
bin111100001100111…
…011001010011101
32121101112101100222
4330030323022131
54032031133041
6244120131125
734013015462
oct7414731235
92541471328
101010021021
11479148819
12242306aa5
13131338499
14981d9669
155da1074b
hex3c33b29d

1010021021 has 2 divisors, whose sum is σ = 1010021022. Its totient is φ = 1010021020.

The previous prime is 1010020997. The next prime is 1010021041. The reversal of 1010021021 is 1201200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1007364121 + 2656900 = 31739^2 + 1630^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010021021 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010021041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505010510 + 505010511.

It is an arithmetic number, because the mean of its divisors is an integer number (505010511).

Almost surely, 21010021021 is an apocalyptic number.

It is an amenable number.

1010021021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010021021 is an equidigital number, since it uses as much as digits as its factorization.

1010021021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1010021021 is about 31780.8278841191. The cubic root of 1010021021 is about 1003.3292441663.

Adding to 1010021021 its reverse (1201200101), we get a palindrome (2211221122).

The spelling of 1010021021 in words is "one billion, ten million, twenty-one thousand, twenty-one".