10401002001 has 24 divisors (see below), whose sum is σ = 16193578856. Its totient is φ = 6394982400.

The previous prime is 10401001993. The next prime is 10401002023. The reversal of 10401002001 is 10020010401.

It is a happy number.

10401002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3144517776 + 7256484225 = 56076^2 + 85185^2 .

It is not a de Polignac number, because 10401002001 - 2³ = 10401001993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10401002081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96351 + ... + 173451.

Almost surely, 2^10401002001 is an apocalyptic number.

It is an amenable number.

10401002001 is a deficient number, since it is larger than the sum of its proper divisors (5792576855).

10401002001 is a wasteful number, since it uses less digits than its factorization.

10401002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78273 (or 78270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10401002001 its reverse (10020010401), we get a palindrome (20421012402).

The spelling of 10401002001 in words is "ten billion, four hundred one million, two thousand, one".