101638540889 has 2 divisors, whose sum is σ = 101638540890. Its totient is φ = 101638540888.

The previous prime is 101638540831. The next prime is 101638540897. The reversal of 101638540889 is 988045836101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101638540864 + 25 = 318808^2 + 5^2 .

It is an emirp because it is prime and its reverse (988045836101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101638540889 - 2¹² = 101638536793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101638540889.

It is not a weakly prime, because it can be changed into another prime (101638540819) 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, 50819270444 + 50819270445.

It is an arithmetic number, because the mean of its divisors is an integer number (50819270445).

Almost surely, 2^101638540889 is an apocalyptic number.

It is an amenable number.

101638540889 is a deficient number, since it is larger than the sum of its proper divisors (1).

101638540889 is an equidigital number, since it uses as much as digits as its factorization.

101638540889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 53.

The spelling of 101638540889 in words is "one hundred one billion, six hundred thirty-eight million, five hundred forty thousand, eight hundred eighty-nine".