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201012221032001 is a prime number
BaseRepresentation
bin101101101101000111001110…
…000001111011011001000001
3222100201120200022002020022022
4231231013032001323121001
5202321341012041011001
61551303423423051225
760224440140162461
oct5555071601733101
9870646608066268
10201012221032001
1159059893438495
121a665622140b15
1388214a942b5b2
14378d087183ba1
151838bc868711b
hexb6d1ce07b641

201012221032001 has 2 divisors, whose sum is σ = 201012221032002. Its totient is φ = 201012221032000.

The previous prime is 201012221031907. The next prime is 201012221032087. The reversal of 201012221032001 is 100230122210102.

201012221032001 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., 118523611791025 + 82488609240976 = 10886855^2 + 9082324^2 .

It is a cyclic number.

It is not a de Polignac number, because 201012221032001 - 226 = 201012153923137 is a prime.

It is not a weakly prime, because it can be changed into another prime (201012221332001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100506110516000 + 100506110516001.

It is an arithmetic number, because the mean of its divisors is an integer number (100506110516001).

Almost surely, 2201012221032001 is an apocalyptic number.

It is an amenable number.

201012221032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201012221032001 is an equidigital number, since it uses as much as digits as its factorization.

201012221032001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 201012221032001 its reverse (100230122210102), we get a palindrome (301242343242103).

The spelling of 201012221032001 in words is "two hundred one trillion, twelve billion, two hundred twenty-one million, thirty-two thousand, one".