10181820201 has 48 divisors (see below), whose sum is σ = 16039785600. Its totient is φ = 5742172800.

The previous prime is 10181820133. The next prime is 10181820241. The reversal of 10181820201 is 10202818101.

It is not a de Polignac number, because 10181820201 - 2¹⁷ = 10181689129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10181820241) 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 in 47 ways as a sum of consecutive naturals, for example, 32529621 + ... + 32529933.

It is an arithmetic number, because the mean of its divisors is an integer number (334162200).

Almost surely, 2^10181820201 is an apocalyptic number.

It is an amenable number.

10181820201 is a deficient number, since it is larger than the sum of its proper divisors (5857965399).

10181820201 is an frugal number, since it uses more digits than its factorization.

10181820201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 10181820201 in words is "ten billion, one hundred eighty-one million, eight hundred twenty thousand, two hundred one".