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2122101222229 is a prime number
BaseRepresentation
bin11110111000010111000…
…101101110101101010101
321111212111212211121111001
4132320113011232231111
5234232030403102404
64302514013543301
7306213434524552
oct36702705565525
97455455747431
102122101222229
11748a838a92aa
122a333b4a4b31
13125161b769b1
14749d2cbda29
153a30268c7a4
hex1ee1716eb55

2122101222229 has 2 divisors, whose sum is σ = 2122101222230. Its totient is φ = 2122101222228.

The previous prime is 2122101222217. The next prime is 2122101222251. The reversal of 2122101222229 is 9222221012212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1373755117329 + 748346104900 = 1172073^2 + 865070^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122101222229 - 217 = 2122101091157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122101222197 and 2122101222206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122101282229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050611114 + 1061050611115.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050611115).

Almost surely, 22122101222229 is an apocalyptic number.

It is an amenable number.

2122101222229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122101222229 is an equidigital number, since it uses as much as digits as its factorization.

2122101222229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 2122101222229 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty-nine".