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22121331300121 is a prime number
BaseRepresentation
bin1010000011110100001100…
…00110000001011100011001
32220022210000121120000120011
411001322012012001130121
510344413441303100441
6115014222130001521
74442133132404554
oct501720606013431
986283017500504
1022121331300121
1170596708a9479
1225933191162a1
13c460567a9101
1456696cba169b
1528565eb3d581
hex141e86181719

22121331300121 has 2 divisors, whose sum is σ = 22121331300122. Its totient is φ = 22121331300120.

The previous prime is 22121331300097. The next prime is 22121331300149. The reversal of 22121331300121 is 12100313312122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21995349606400 + 125981693721 = 4689920^2 + 354939^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121331300121 - 27 = 22121331299993 is a prime.

It is a super-2 number, since 2×221213313001212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22121331300092 and 22121331300101.

It is not a weakly prime, because it can be changed into another prime (22121331300221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060665650060 + 11060665650061.

It is an arithmetic number, because the mean of its divisors is an integer number (11060665650061).

Almost surely, 222121331300121 is an apocalyptic number.

It is an amenable number.

22121331300121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121331300121 is an equidigital number, since it uses as much as digits as its factorization.

22121331300121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 22121331300121 its reverse (12100313312122), we get a palindrome (34221644612243).

The spelling of 22121331300121 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred thousand, one hundred twenty-one".