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2221222201001 is a prime number
BaseRepresentation
bin100000010100101011001…
…010010000011010101001
321212100100210110001021222
4200110223022100122221
5242343030340413001
64420225420311425
7316322646121136
oct40245312203251
97770323401258
102221222201001
11787019030781
122ba5a29a2575
131315ca52681b
14797172c558d
153cba464161b
hex2052b2906a9

2221222201001 has 2 divisors, whose sum is σ = 2221222201002. Its totient is φ = 2221222201000.

The previous prime is 2221222200949. The next prime is 2221222201063. The reversal of 2221222201001 is 1001022221222.

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., 1860976158976 + 360246042025 = 1364176^2 + 600205^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221222201001 - 218 = 2221221938857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221222201301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110611100500 + 1110611100501.

It is an arithmetic number, because the mean of its divisors is an integer number (1110611100501).

Almost surely, 22221222201001 is an apocalyptic number.

It is an amenable number.

2221222201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221222201001 is an equidigital number, since it uses as much as digits as its factorization.

2221222201001 is an evil number, because the sum of its binary digits is even.

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

Adding to 2221222201001 its reverse (1001022221222), we get a palindrome (3222244422223).

The spelling of 2221222201001 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred one thousand, one".