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2222002210121 is a prime number
BaseRepresentation
bin100000010101011001101…
…001110000010101001001
321212102101011011121122122
4200111121221300111021
5242401130031210441
64420435042501025
7316351200104201
oct40253151602511
97772334147578
102222002210121
11787389358111
122ba780064775
131316c2cca495
147978cb29401
153cbecd6a34b
hex20559a70549

2222002210121 has 2 divisors, whose sum is σ = 2222002210122. Its totient is φ = 2222002210120.

The previous prime is 2222002210111. The next prime is 2222002210147. The reversal of 2222002210121 is 1210122002222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1984773792400 + 237228417721 = 1408820^2 + 487061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2222002210121 is a prime.

It is a super-3 number, since 3×22220022101213 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2222002210121.

It is not a weakly prime, because it can be changed into another prime (2222002210111) 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, 1111001105060 + 1111001105061.

It is an arithmetic number, because the mean of its divisors is an integer number (1111001105061).

Almost surely, 22222002210121 is an apocalyptic number.

It is an amenable number.

2222002210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222002210121 is an equidigital number, since it uses as much as digits as its factorization.

2222002210121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2222002210121 its reverse (1210122002222), we get a palindrome (3432124212343).

The spelling of 2222002210121 in words is "two trillion, two hundred twenty-two billion, two million, two hundred ten thousand, one hundred twenty-one".