10102431000401 has 8 divisors (see below), whose sum is σ = 10451085393600. Its totient is φ = 9753796254160.

The previous prime is 10102431000371. The next prime is 10102431000443. The reversal of 10102431000401 is 10400013420101.

It is a happy number.

10102431000401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10102431000401 - 2²⁶ = 10102363891537 is a prime.

It is a super-2 number, since 2×10102431000401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102431000401.

It is not an unprimeable number, because it can be changed into a prime (10102431000451) 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, 3861791 + ... + 5926068.

It is an arithmetic number, because the mean of its divisors is an integer number (1306385674200).

Almost surely, 2^{10102431000401} is an apocalyptic number.

It is an amenable number.

10102431000401 is a deficient number, since it is larger than the sum of its proper divisors (348654393199).

10102431000401 is an equidigital number, since it uses as much as digits as its factorization.

10102431000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823479.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10102431000401 its reverse (10400013420101), we get a palindrome (20502444420502).

The spelling of 10102431000401 in words is "ten trillion, one hundred two billion, four hundred thirty-one million, four hundred one", and thus it is an aban number.