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210222212101001 is a prime number
BaseRepresentation
bin101111110011001000101100…
…010001101011001110001001
31000120100001021102010122020122
4233303020230101223032021
5210023240042244213001
62023034430115033025
762165024250452102
oct5763105421531611
91016301242118218
10210222212101001
1160a8a815281831
121b6b258159b775
13903bb3c4bb7a9
1439cab48c273a9
1519485674ceb1b
hexbf322c46b389

210222212101001 has 2 divisors, whose sum is σ = 210222212101002. Its totient is φ = 210222212101000.

The previous prime is 210222212100949. The next prime is 210222212101037. The reversal of 210222212101001 is 100101212222012.

210222212101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156737855211001 + 53484356890000 = 12519499^2 + 7313300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210222212101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (210222212106001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105111106050500 + 105111106050501.

It is an arithmetic number, because the mean of its divisors is an integer number (105111106050501).

Almost surely, 2210222212101001 is an apocalyptic number.

It is an amenable number.

210222212101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210222212101001 is an equidigital number, since it uses as much as digits as its factorization.

210222212101001 is an evil number, because the sum of its binary digits is even.

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

Adding to 210222212101001 its reverse (100101212222012), we get a palindrome (310323424323013).

The spelling of 210222212101001 in words is "two hundred ten trillion, two hundred twenty-two billion, two hundred twelve million, one hundred one thousand, one".