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121121201100401 is a prime number
BaseRepresentation
bin11011100010100010111010…
…001010101001011001110001
3120212212001222202110021220222
4123202202322022221121301
5111333422204440203101
61105334151151342425
734340501163246065
oct3342427212513161
9525761882407828
10121121201100401
1135658238441787
1211702125221a15
1352778ac69ab68
1421ca424157aa5
15e0099152901b
hex6e28ba2a9671

121121201100401 has 2 divisors, whose sum is σ = 121121201100402. Its totient is φ = 121121201100400.

The previous prime is 121121201100391. The next prime is 121121201100503. The reversal of 121121201100401 is 104001102121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91202500000000 + 29918701100401 = 9550000^2 + 5469799^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121201100401 - 246 = 50752456922737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121121201100401.

It is not a weakly prime, because it can be changed into another prime (121121201106401) 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, 60560600550200 + 60560600550201.

It is an arithmetic number, because the mean of its divisors is an integer number (60560600550201).

Almost surely, 2121121201100401 is an apocalyptic number.

It is an amenable number.

121121201100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121201100401 is an equidigital number, since it uses as much as digits as its factorization.

121121201100401 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 121121201100401 its reverse (104001102121121), we get a palindrome (225122303221522).

The spelling of 121121201100401 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred one million, one hundred thousand, four hundred one".