10000000000401 has 8 divisors (see below), whose sum is σ = 13333378319520. Its totient is φ = 6666644174112.

The previous prime is 10000000000391. The next prime is 10000000000411. The reversal of 10000000000401 is 10400000000001.

It is an interprime number because it is at equal distance from previous prime (10000000000391) and next prime (10000000000411).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000000000401 - 2⁷ = 10000000000273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000000000401.

It is not an unprimeable number, because it can be changed into a prime (10000000000411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4556956 + ... + 6384813.

It is an arithmetic number, because the mean of its divisors is an integer number (1666672289940).

Almost surely, 2^{10000000000401} is an apocalyptic number.

It is an amenable number.

10000000000401 is a deficient number, since it is larger than the sum of its proper divisors (3333378319119).

10000000000401 is a wasteful number, since it uses less digits than its factorization.

10000000000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246415.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10000000000401 its reverse (10400000000001), we get a palindrome (20400000000402).

The spelling of 10000000000401 in words is "ten trillion, four hundred one", and thus it is an aban number.