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2210022121201 is a prime number
BaseRepresentation
bin100000001010001111100…
…101010101111011110001
321211021110020112001011121
4200022033211111323301
5242202111130334301
64411134203542241
7315445260036226
oct40121745257361
97737406461147
102210022121201
117822a0965a84
122b8397b2a981
1313053401777b
1478d73a1194d
153c74b22e3a1
hex2028f955ef1

2210022121201 has 2 divisors, whose sum is σ = 2210022121202. Its totient is φ = 2210022121200.

The previous prime is 2210022121189. The next prime is 2210022121211. The reversal of 2210022121201 is 1021212200122.

It is a happy number.

2210022121201 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., 2072678502400 + 137343618801 = 1439680^2 + 370599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210022121201 - 213 = 2210022113009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210022121211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105011060600 + 1105011060601.

It is an arithmetic number, because the mean of its divisors is an integer number (1105011060601).

Almost surely, 22210022121201 is an apocalyptic number.

It is an amenable number.

2210022121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210022121201 is an equidigital number, since it uses as much as digits as its factorization.

2210022121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2210022121201 its reverse (1021212200122), we get a palindrome (3231234321323).

The spelling of 2210022121201 in words is "two trillion, two hundred ten billion, twenty-two million, one hundred twenty-one thousand, two hundred one".