100209901 has 12 divisors (see below), whose sum is σ = 110483100. Its totient is φ = 90823040.

The previous prime is 100209899. The next prime is 100209911. The reversal of 100209901 is 109902001.

It can be written as a sum of positive squares in 2 ways, for example, as 24502500 + 75707401 = 4950^2 + 8701^2 .

It is not a de Polignac number, because 100209901 - 2¹ = 100209899 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100209911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46005 + ... + 48133.

It is an arithmetic number, because the mean of its divisors is an integer number (9206925).

Almost surely, 2^100209901 is an apocalyptic number.

100209901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100209901 is a deficient number, since it is larger than the sum of its proper divisors (10273199).

100209901 is a wasteful number, since it uses less digits than its factorization.

100209901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 100209901 is about 10010.4895484686. The cubic root of 100209901 is about 464.4834144483.

The spelling of 100209901 in words is "one hundred million, two hundred nine thousand, nine hundred one".