10102400401 has 4 divisors (see below), whose sum is σ = 10103196852. Its totient is φ = 10101603952.

The previous prime is 10102400393. The next prime is 10102400449. The reversal of 10102400401 is 10400420101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8280818001 + 1821582400 = 90999^2 + 42680^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102400401 - 2³ = 10102400393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102403401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 378886 + ... + 404671.

It is an arithmetic number, because the mean of its divisors is an integer number (2525799213).

Almost surely, 2^10102400401 is an apocalyptic number.

It is an amenable number.

10102400401 is a deficient number, since it is larger than the sum of its proper divisors (796451).

10102400401 is an equidigital number, since it uses as much as digits as its factorization.

10102400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796450.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10102400401 its reverse (10400420101), we get a palindrome (20502820502).

The spelling of 10102400401 in words is "ten billion, one hundred two million, four hundred thousand, four hundred one".