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12121101122021 is a prime number
BaseRepresentation
bin1011000001100010100111…
…1011010011100111100101
31120220202200101012111201222
42300120221323103213211
53042043003341401041
641440205035230125
72360502120403133
oct260305173234745
946822611174658
1012121101122021
113953591650221
1214391982a8345
1369c026a5b538
142dc943276753
1516046e8ce74b
hexb0629ed39e5

12121101122021 has 2 divisors, whose sum is σ = 12121101122022. Its totient is φ = 12121101122020.

The previous prime is 12121101121999. The next prime is 12121101122033. The reversal of 12121101122021 is 12022110112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8940781732996 + 3180319389025 = 2990114^2 + 1783345^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121101122021 - 222 = 12121096927717 is a prime.

It is a super-2 number, since 2×121211011220212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121101128021) 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, 6060550561010 + 6060550561011.

It is an arithmetic number, because the mean of its divisors is an integer number (6060550561011).

Almost surely, 212121101122021 is an apocalyptic number.

It is an amenable number.

12121101122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121101122021 is an equidigital number, since it uses as much as digits as its factorization.

12121101122021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12121101122021 its reverse (12022110112121), we get a palindrome (24143211234142).

The spelling of 12121101122021 in words is "twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, twenty-one".