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12121220101 is a prime number
BaseRepresentation
bin10110100100111101…
…10010010000000101
31011021202012210001211
423102132302100011
5144311013020401
65322435451421
7606242446054
oct132236622005
934252183054
1012121220101
115160127081
122423456b71
1311b22c7bb3
1482db7439b
154ae217951
hex2d27b2405

12121220101 has 2 divisors, whose sum is σ = 12121220102. Its totient is φ = 12121220100.

The previous prime is 12121220093. The next prime is 12121220113. The reversal of 12121220101 is 10102212121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7525736001 + 4595484100 = 86751^2 + 67790^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121220101 - 23 = 12121220093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121220171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060610050 + 6060610051.

It is an arithmetic number, because the mean of its divisors is an integer number (6060610051).

Almost surely, 212121220101 is an apocalyptic number.

It is an amenable number.

12121220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121220101 is an equidigital number, since it uses as much as digits as its factorization.

12121220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12121220101 its reverse (10102212121), we get a palindrome (22223432222).

The spelling of 12121220101 in words is "twelve billion, one hundred twenty-one million, two hundred twenty thousand, one hundred one".