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22220022102121 is a prime number
BaseRepresentation
bin1010000110101100000001…
…00001100011100001101001
32220200012202112201012210001
411003112000201203201221
510403023101124231441
6115131423124223001
74452225601363354
oct503260041434151
986605675635701
1022220022102121
117097505224758
1225aa48053aa61
13c52453cb007c
1456b651dc929b
15287ed8e6c731
hex143580863869

22220022102121 has 2 divisors, whose sum is σ = 22220022102122. Its totient is φ = 22220022102120.

The previous prime is 22220022102059. The next prime is 22220022102197. The reversal of 22220022102121 is 12120122002222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19711726364521 + 2508295737600 = 4439789^2 + 1583760^2 .

It is a cyclic number.

It is not a de Polignac number, because 22220022102121 - 237 = 22082583148649 is a prime.

It is a super-3 number, since 3×222200221021213 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22220022102821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11110011051060 + 11110011051061.

It is an arithmetic number, because the mean of its divisors is an integer number (11110011051061).

Almost surely, 222220022102121 is an apocalyptic number.

It is an amenable number.

22220022102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22220022102121 is an equidigital number, since it uses as much as digits as its factorization.

22220022102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22220022102121 its reverse (12120122002222), we get a palindrome (34340144104343).

The spelling of 22220022102121 in words is "twenty-two trillion, two hundred twenty billion, twenty-two million, one hundred two thousand, one hundred twenty-one".