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10012120021 is a prime number
BaseRepresentation
bin10010101001100010…
…01101001111010101
3221211202120101200001
421110301031033111
5131001100320041
64333254251301
7503052421201
oct112461151725
927752511601
1010012120021
114278642a62
121b35056b31
13c37371c97
146ad9d9b01
153d8ea4131
hex254c4d3d5

10012120021 has 2 divisors, whose sum is σ = 10012120022. Its totient is φ = 10012120020.

The previous prime is 10012119989. The next prime is 10012120037. The reversal of 10012120021 is 12002121001.

10012120021 is digitally balanced in base 2 and base 3, because in such bases 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., 6434285796 + 3577834225 = 80214^2 + 59815^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012120021 - 25 = 10012119989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012120121) 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, 5006060010 + 5006060011.

It is an arithmetic number, because the mean of its divisors is an integer number (5006060011).

Almost surely, 210012120021 is an apocalyptic number.

It is an amenable number.

10012120021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012120021 is an equidigital number, since it uses as much as digits as its factorization.

10012120021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10012120021 its reverse (12002121001), we get a palindrome (22014241022).

The spelling of 10012120021 in words is "ten billion, twelve million, one hundred twenty thousand, twenty-one".