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2222121010001 is a prime number
BaseRepresentation
bin100000010101100000101…
…110111100001101010001
321212102200102201021110012
4200111200232330031101
5242401400434310001
64420454525044305
7316354141636424
oct40254056741521
97772612637405
102222121010001
1178743a41a232
122ba7b39b6695
131317117c4079
14797a08119bb
153cc084d52bb
hex20560bbc351

2222121010001 has 2 divisors, whose sum is σ = 2222121010002. Its totient is φ = 2222121010000.

The previous prime is 2222121009991. The next prime is 2222121010007. The reversal of 2222121010001 is 1000101212222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1222472979025 + 999648030976 = 1105655^2 + 999824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222121010001 - 222 = 2222116815697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2222121010007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111060505000 + 1111060505001.

It is an arithmetic number, because the mean of its divisors is an integer number (1111060505001).

Almost surely, 22222121010001 is an apocalyptic number.

It is an amenable number.

2222121010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222121010001 is an equidigital number, since it uses as much as digits as its factorization.

2222121010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2222121010001 its reverse (1000101212222), we get a palindrome (3222222222223).

The spelling of 2222121010001 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-one million, ten thousand, one".