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42021120121 is a prime number
BaseRepresentation
bin100111001000101001…
…110110100001111001
311000110112011002002021
4213020221312201321
51142024401320441
631145414234441
73015215425201
oct471051664171
9130415132067
1042021120121
1116903910552
128188955a21
133c68a12b26
142068ba3401
15115e16c3d1
hex9c8a76879

42021120121 has 2 divisors, whose sum is σ = 42021120122. Its totient is φ = 42021120120.

The previous prime is 42021120103. The next prime is 42021120137. The reversal of 42021120121 is 12102112024.

42021120121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (42021120137) can be obtained adding 42021120121 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25941612096 + 16079508025 = 161064^2 + 126805^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42021120121 is a prime.

It is a super-2 number, since 2×420211201212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42021120095 and 42021120104.

It is not a weakly prime, because it can be changed into another prime (42021120101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21010560060 + 21010560061.

It is an arithmetic number, because the mean of its divisors is an integer number (21010560061).

Almost surely, 242021120121 is an apocalyptic number.

It is an amenable number.

42021120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

42021120121 is an equidigital number, since it uses as much as digits as its factorization.

42021120121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 42021120121 its reverse (12102112024), we get a palindrome (54123232145).

The spelling of 42021120121 in words is "forty-two billion, twenty-one million, one hundred twenty thousand, one hundred twenty-one".