Search a number
-
+
2221210102121 is a prime number
BaseRepresentation
bin100000010100101010011…
…100000110100101101001
321212100022221200100202022
4200110222130012211221
5242343014241231441
64420224305114225
7316322441230343
oct40245234064551
97770287610668
102221210102121
117870122176aa
122ba59a928975
131315c7b7b81a
1479715856293
153cba355184b
hex2052a706969

2221210102121 has 2 divisors, whose sum is σ = 2221210102122. Its totient is φ = 2221210102120.

The previous prime is 2221210102081. The next prime is 2221210102147. The reversal of 2221210102121 is 1212010121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1433623075600 + 787587026521 = 1197340^2 + 887461^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221210102121 - 238 = 1946332195177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2221210102121.

It is not a weakly prime, because it can be changed into another prime (2221210104121) 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, 1110605051060 + 1110605051061.

It is an arithmetic number, because the mean of its divisors is an integer number (1110605051061).

Almost surely, 22221210102121 is an apocalyptic number.

It is an amenable number.

2221210102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221210102121 is an equidigital number, since it uses as much as digits as its factorization.

2221210102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2221210102121 its reverse (1212010121222), we get a palindrome (3433220223343).

The spelling of 2221210102121 in words is "two trillion, two hundred twenty-one billion, two hundred ten million, one hundred two thousand, one hundred twenty-one".