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122033221001 is a prime number
BaseRepresentation
bin111000110100110111…
…1110010110110001001
3102122222201000221100222
41301221233302312021
53444411001033001
6132021123235425
711550045156266
oct1615157626611
9378881027328
10122033221001
114783263215a
121b798818b75
13b67a4c3813
145c993ac26d
15329372b61b
hex1c69bf2d89

122033221001 has 2 divisors, whose sum is σ = 122033221002. Its totient is φ = 122033221000.

The previous prime is 122033220997. The next prime is 122033221003. The reversal of 122033221001 is 100122330221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97266015625 + 24767205376 = 311875^2 + 157376^2 .

It is a cyclic number.

It is not a de Polignac number, because 122033221001 - 22 = 122033220997 is a prime.

Together with 122033221003, 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 (122033221003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61016610500 + 61016610501.

It is an arithmetic number, because the mean of its divisors is an integer number (61016610501).

Almost surely, 2122033221001 is an apocalyptic number.

It is an amenable number.

122033221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033221001 is an equidigital number, since it uses as much as digits as its factorization.

122033221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122033221001 its reverse (100122330221), we get a palindrome (222155551222).

The spelling of 122033221001 in words is "one hundred twenty-two billion, thirty-three million, two hundred twenty-one thousand, one".