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101012220209 is a prime number
BaseRepresentation
bin101111000010011001…
…1000010100100110001
3100122201201022110100002
41132010303002210301
53123333112021314
6114223202235345
710204114463555
oct1360463024461
9318651273302
10101012220209
113992584612a
12176b0955b55
1396aa437c04
144c6366d865
152963031ade
hex1784cc2931

101012220209 has 2 divisors, whose sum is σ = 101012220210. Its totient is φ = 101012220208.

The previous prime is 101012220193. The next prime is 101012220269. The reversal of 101012220209 is 902022210101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92498098225 + 8514121984 = 304135^2 + 92272^2 .

It is an emirp because it is prime and its reverse (902022210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101012220209 - 24 = 101012220193 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101012220269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506110104 + 50506110105.

It is an arithmetic number, because the mean of its divisors is an integer number (50506110105).

Almost surely, 2101012220209 is an apocalyptic number.

It is an amenable number.

101012220209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012220209 is an equidigital number, since it uses as much as digits as its factorization.

101012220209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 101012220209 in words is "one hundred one billion, twelve million, two hundred twenty thousand, two hundred nine".