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2122102422001 is a prime number
BaseRepresentation
bin11110111000010111001…
…010010011100111110001
321111212111222002120021001
4132320113022103213301
5234232031210001001
64302514055402001
7306213450652462
oct36702712234761
97455458076231
102122102422001
11748a84548751
122a333b983301
131251621a6b13
14749d3112d69
153a302828001
hex1ee172939f1

2122102422001 has 2 divisors, whose sum is σ = 2122102422002. Its totient is φ = 2122102422000.

The previous prime is 2122102421993. The next prime is 2122102422007. The reversal of 2122102422001 is 1002242012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2110395398400 + 11707023601 = 1452720^2 + 108199^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122102422001 - 23 = 2122102421993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122102422001.

It is not a weakly prime, because it can be changed into another prime (2122102422007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061051211000 + 1061051211001.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051211001).

Almost surely, 22122102422001 is an apocalyptic number.

It is an amenable number.

2122102422001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102422001 is an equidigital number, since it uses as much as digits as its factorization.

2122102422001 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 2122102422001 its reverse (1002242012212), we get a palindrome (3124344434213).

The spelling of 2122102422001 in words is "two trillion, one hundred twenty-two billion, one hundred two million, four hundred twenty-two thousand, one".