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10021131121 is a prime number
BaseRepresentation
bin10010101010100111…
…00101001101110001
3221212101112012120111
421111103211031301
5131010402143441
64334215341321
7503222131501
oct112523451561
927771465514
1010021131121
114282738151
121b38081841
13c391a86b1
146b0ca3a01
153d9b84081
hex2554e5371

10021131121 has 2 divisors, whose sum is σ = 10021131122. Its totient is φ = 10021131120.

The previous prime is 10021131067. The next prime is 10021131143. The reversal of 10021131121 is 12113112001.

It is a happy number.

10021131121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8969037025 + 1052094096 = 94705^2 + 32436^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021131121 - 231 = 7873647473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021131161) 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, 5010565560 + 5010565561.

It is an arithmetic number, because the mean of its divisors is an integer number (5010565561).

Almost surely, 210021131121 is an apocalyptic number.

It is an amenable number.

10021131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021131121 is an equidigital number, since it uses as much as digits as its factorization.

10021131121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10021131121 its reverse (12113112001), we get a palindrome (22134243122).

The spelling of 10021131121 in words is "ten billion, twenty-one million, one hundred thirty-one thousand, one hundred twenty-one".