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22101311201 is a prime number
BaseRepresentation
bin10100100101010101…
…110011111011100001
32010001021111221022112
4110211111303323201
5330230413424301
614053031445105
71411456021424
oct244525637341
963037457275
1022101311201
119411683252
124349826795
132112b34548
1410d93d39bb
158954919bb
hex525573ee1

22101311201 has 2 divisors, whose sum is σ = 22101311202. Its totient is φ = 22101311200.

The previous prime is 22101311189. The next prime is 22101311257. The reversal of 22101311201 is 10211310122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22081960000 + 19351201 = 148600^2 + 4399^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101311201 - 222 = 22097116897 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050655600 + 11050655601.

It is an arithmetic number, because the mean of its divisors is an integer number (11050655601).

Almost surely, 222101311201 is an apocalyptic number.

It is an amenable number.

22101311201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101311201 is an equidigital number, since it uses as much as digits as its factorization.

22101311201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 22101311201 its reverse (10211310122), we get a palindrome (32312621323).

The spelling of 22101311201 in words is "twenty-two billion, one hundred one million, three hundred eleven thousand, two hundred one".