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121221121001 is a prime number
BaseRepresentation
bin111000011100101010…
…1111000001111101001
3102120220002220222121012
41300321111320033221
53441230101333001
6131404353153305
711520654345641
oct1607125701751
9376802828535
10121221121001
1147456187432
121b5b085b835
13b57b195286
145c1d5b3521
1532472b42bb
hex1c395783e9

121221121001 has 2 divisors, whose sum is σ = 121221121002. Its totient is φ = 121221121000.

The previous prime is 121221120997. The next prime is 121221121003. The reversal of 121221121001 is 100121122121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102874147600 + 18346973401 = 320740^2 + 135451^2 .

It is a cyclic number.

It is not a de Polignac number, because 121221121001 - 22 = 121221120997 is a prime.

Together with 121221121003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (121221121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60610560500 + 60610560501.

It is an arithmetic number, because the mean of its divisors is an integer number (60610560501).

Almost surely, 2121221121001 is an apocalyptic number.

It is an amenable number.

121221121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121221121001 is an equidigital number, since it uses as much as digits as its factorization.

121221121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121221121001 its reverse (100121122121), we get a palindrome (221342243122).

It can be divided in two parts, 121 and 221121001, that added together give a palindrome (221121122).

The spelling of 121221121001 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one".