1008008101 has 2 divisors, whose sum is σ = 1008008102. Its totient is φ = 1008008100.

The previous prime is 1008008063. The next prime is 1008008117. The reversal of 1008008101 is 1018008001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 556488100 + 451520001 = 23590^2 + 21249^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008008101 - 2¹¹ = 1008006053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1008008171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504004050 + 504004051.

It is an arithmetic number, because the mean of its divisors is an integer number (504004051).

Almost surely, 2^1008008101 is an apocalyptic number.

It is an amenable number.

1008008101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008008101 is an equidigital number, since it uses as much as digits as its factorization.

1008008101 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 19.

The square root of 1008008101 is about 31749.1433112769. The cubic root of 1008008101 is about 1002.6622730126.

The spelling of 1008008101 in words is "one billion, eight million, eight thousand, one hundred one".