288100021 has 12 divisors (see below), whose sum is σ = 331707744. Its totient is φ = 248121000.

The previous prime is 288099899. The next prime is 288100051. The reversal of 288100021 is 120001882.

It is not a de Polignac number, because 288100021 - 2¹⁹ = 287575733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288099965 and 288100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32305 + ... + 40246.

It is an arithmetic number, because the mean of its divisors is an integer number (27642312).

Almost surely, 2^288100021 is an apocalyptic number.

It is an amenable number.

288100021 is a deficient number, since it is larger than the sum of its proper divisors (43607723).

288100021 is a wasteful number, since it uses less digits than its factorization.

288100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72600 (or 72581 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 288100021 is about 16973.5093896342. The cubic root of 288100021 is about 660.4618904826.

The spelling of 288100021 in words is "two hundred eighty-eight million, one hundred thousand, twenty-one".