101846800901 has 2 divisors, whose sum is σ = 101846800902. Its totient is φ = 101846800900.

The previous prime is 101846800849. The next prime is 101846800921. The reversal of 101846800901 is 109008648101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56956209025 + 44890591876 = 238655^2 + 211874^2 .

It is a cyclic number.

It is not a de Polignac number, because 101846800901 - 2¹⁰ = 101846799877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101846800921) 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, 50923400450 + 50923400451.

It is an arithmetic number, because the mean of its divisors is an integer number (50923400451).

Almost surely, 2^101846800901 is an apocalyptic number.

It is an amenable number.

101846800901 is a deficient number, since it is larger than the sum of its proper divisors (1).

101846800901 is an equidigital number, since it uses as much as digits as its factorization.

101846800901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 38.

The spelling of 101846800901 in words is "one hundred one billion, eight hundred forty-six million, eight hundred thousand, nine hundred one".