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121211101021 is a prime number
BaseRepresentation
bin111000011100010111…
…1101001111101011101
3102120212102001220202211
41300320233221331131
53441220020213041
6131403354320421
711520503234113
oct1607057517535
9376772056684
10121211101021
114745056325a
121b5a9429111
13b5790975aa
145c1c125ab3
153246485481
hex1c38be9f5d

121211101021 has 2 divisors, whose sum is σ = 121211101022. Its totient is φ = 121211101020.

The previous prime is 121211101009. The next prime is 121211101051. The reversal of 121211101021 is 120101112121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91355062500 + 29856038521 = 302250^2 + 172789^2 .

It is a cyclic number.

It is not a de Polignac number, because 121211101021 - 27 = 121211100893 is a prime.

It is a super-3 number, since 3×1212111010213 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121211100992 and 121211101010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121211101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60605550510 + 60605550511.

It is an arithmetic number, because the mean of its divisors is an integer number (60605550511).

Almost surely, 2121211101021 is an apocalyptic number.

It is an amenable number.

121211101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

121211101021 is an equidigital number, since it uses as much as digits as its factorization.

121211101021 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 13.

Adding to 121211101021 its reverse (120101112121), we get a palindrome (241312213142).

The spelling of 121211101021 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred one thousand, twenty-one".