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121221021202033 is a prime number
BaseRepresentation
bin11011100011111111110111…
…111010000111011001110001
3120220012121122101120212000011
4123203333313322013121301
5111342041122411431113
61105452100210454521
734350633624151414
oct3343776772073161
9526177571525004
10121221021202033
1135696601274545
1211719542894441
135284129b40a5c
1421d11b3349b7b
15e03384a7a63d
hex6e3ff7e87671

121221021202033 has 2 divisors, whose sum is σ = 121221021202034. Its totient is φ = 121221021202032.

The previous prime is 121221021202007. The next prime is 121221021202049. The reversal of 121221021202033 is 330202120122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69675614284864 + 51545406917169 = 8347192^2 + 7179513^2 .

It is a cyclic number.

It is not a de Polignac number, because 121221021202033 - 225 = 121220987647601 is a prime.

It is a super-2 number, since 2×1212210212020332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121221021201995 and 121221021202013.

It is not a weakly prime, because it can be changed into another prime (121221021202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60610510601016 + 60610510601017.

It is an arithmetic number, because the mean of its divisors is an integer number (60610510601017).

Almost surely, 2121221021202033 is an apocalyptic number.

It is an amenable number.

121221021202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

121221021202033 is an equidigital number, since it uses as much as digits as its factorization.

121221021202033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 121221021202033 its reverse (330202120122121), we get a palindrome (451423141324154).

The spelling of 121221021202033 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, two hundred two thousand, thirty-three".