10009802401 has 3 divisors (see below), whose sum is σ = 10009902451. Its totient is φ = 10009702352.

The previous prime is 10009802399. The next prime is 10009802449. The reversal of 10009802401 is 10420890001.

It is a happy number.

The square root of 10009802401 is 100049.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10420890001 = 34217 ⋅304553.

It can be written as a sum of positive squares in only one way, i.e., 57744801 + 9952057600 = 7599^2 + 99760^2 .

It is not a de Polignac number, because 10009802401 - 2¹ = 10009802399 is a prime.

It is a super-2 number, since 2×10009802401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10009800401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 50025 + ... + 150073.

Almost surely, 2^10009802401 is an apocalyptic number.

10009802401 is the 100049-th square number.

10009802401 is the 50025-th centered octagonal number.

It is an amenable number.

10009802401 is a deficient number, since it is larger than the sum of its proper divisors (100050).

10009802401 is an frugal number, since it uses more digits than its factorization.

10009802401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200098 (or 100049 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Multiplying 10009802401 by its sum of digits (25), we get a square (250245060025 = 500245²).

Multiplying 10009802401 by its product of nonzero digits (576), we get a square (5765646182976 = 2401176²).

The spelling of 10009802401 in words is "ten billion, nine million, eight hundred two thousand, four hundred one".