Search a number
-
+
121022001111001 is a prime number
BaseRepresentation
bin11011100001000110100001…
…011000101101111111011001
3120212111120221100011200220111
4123201012201120231333121
5111330311024241023001
61105220423443324321
734330360002250024
oct3341064130557731
9525446840150814
10121022001111001
113561a162654471
12116a6a5b3806a1
13526b430846093
1421c56d34661bb
15ded0d7669851
hex6e11a162dfd9

121022001111001 has 2 divisors, whose sum is σ = 121022001111002. Its totient is φ = 121022001111000.

The previous prime is 121022001110999. The next prime is 121022001111013. The reversal of 121022001111001 is 100111100220121.

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., 106203350861001 + 14818650250000 = 10305501^2 + 3849500^2 .

It is a cyclic number.

It is not a de Polignac number, because 121022001111001 - 21 = 121022001110999 is a prime.

It is a super-2 number, since 2×1210220011110012 (a number of 29 digits) contains 22 as substring.

Together with 121022001110999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (121022001118001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60511000555500 + 60511000555501.

It is an arithmetic number, because the mean of its divisors is an integer number (60511000555501).

Almost surely, 2121022001111001 is an apocalyptic number.

It is an amenable number.

121022001111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121022001111001 is an equidigital number, since it uses as much as digits as its factorization.

121022001111001 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 121022001111001 its reverse (100111100220121), we get a palindrome (221133101331122).

The spelling of 121022001111001 in words is "one hundred twenty-one trillion, twenty-two billion, one million, one hundred eleven thousand, one".