10000314120401 has 8 divisors (see below), whose sum is σ = 10923769250208. Its totient is φ = 9079248268000.

The previous prime is 10000314120389. The next prime is 10000314120421. The reversal of 10000314120401 is 10402141300001.

It is a happy number.

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 10000314120401 - 2¹⁸ = 10000313858257 is a prime.

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 10000314120401.

It is not an unprimeable number, because it can be changed into a prime (10000314120421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597310595 + ... + 597327336.

It is an arithmetic number, because the mean of its divisors is an integer number (1365471156276).

Almost surely, 2^{10000314120401} is an apocalyptic number.

10000314120401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000314120401 is a deficient number, since it is larger than the sum of its proper divisors (923455129807).

10000314120401 is a wasteful number, since it uses less digits than its factorization.

10000314120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194638703.

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

Adding to 10000314120401 its reverse (10402141300001), we get a palindrome (20402455420402).

The spelling of 10000314120401 in words is "ten trillion, three hundred fourteen million, one hundred twenty thousand, four hundred one".