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2201010201149 is a prime number
BaseRepresentation
bin100000000001110110011…
…011100110001000111101
321210102012012000001220212
4200001312123212020331
5242030132102414044
64403044035122205
7315006041010644
oct40016633461075
97712165001825
102201010201149
11779496973071
122b66a1a43365
1312c728c529b6
147875abb635b
153c3bee9aa9e
hex200766e623d

2201010201149 has 2 divisors, whose sum is σ = 2201010201150. Its totient is φ = 2201010201148.

The previous prime is 2201010201127. The next prime is 2201010201227. The reversal of 2201010201149 is 9411020101022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2108057167225 + 92953033924 = 1451915^2 + 304882^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201010201149 - 236 = 2132290724413 is a prime.

It is a super-2 number, since 2×22010102011492 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201010201119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100505100574 + 1100505100575.

It is an arithmetic number, because the mean of its divisors is an integer number (1100505100575).

Almost surely, 22201010201149 is an apocalyptic number.

It is an amenable number.

2201010201149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201010201149 is an equidigital number, since it uses as much as digits as its factorization.

2201010201149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 2201010201149 in words is "two trillion, two hundred one billion, ten million, two hundred one thousand, one hundred forty-nine".