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1010441219101 is a prime number
BaseRepresentation
bin11101011010000101111…
…11010110110000011101
310120121010101102022102121
432231002333112300131
5113023340423002401
62052105034022541
7133000450436026
oct16550277266035
93517111368377
101010441219101
1135a5867a9396
121439b6877a51
13743904c9cb2
1436c9701dc4d
151b43d22aca1
hexeb42fd6c1d

1010441219101 has 2 divisors, whose sum is σ = 1010441219102. Its totient is φ = 1010441219100.

The previous prime is 1010441219059. The next prime is 1010441219113. The reversal of 1010441219101 is 1019121440101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 945316731076 + 65124488025 = 972274^2 + 255195^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010441219101 - 223 = 1010432830493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010441219131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505220609550 + 505220609551.

It is an arithmetic number, because the mean of its divisors is an integer number (505220609551).

Almost surely, 21010441219101 is an apocalyptic number.

It is an amenable number.

1010441219101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010441219101 is an equidigital number, since it uses as much as digits as its factorization.

1010441219101 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 25.

Adding to 1010441219101 its reverse (1019121440101), we get a palindrome (2029562659202).

The spelling of 1010441219101 in words is "one trillion, ten billion, four hundred forty-one million, two hundred nineteen thousand, one hundred one".