10000100213401 has 8 divisors (see below), whose sum is σ = 10103273536160. Its totient is φ = 9896928513408.

The previous prime is 10000100213371. The next prime is 10000100213413. The reversal of 10000100213401 is 10431200100001.

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 10000100213401 - 2¹⁹ = 10000099689113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000100213471) 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, 14974690 + ... + 15628228.

It is an arithmetic number, because the mean of its divisors is an integer number (1262909192020).

Almost surely, 2^{10000100213401} is an apocalyptic number.

It is an amenable number.

10000100213401 is a deficient number, since it is larger than the sum of its proper divisors (103173322759).

10000100213401 is an equidigital number, since it uses as much as digits as its factorization.

10000100213401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811383.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000100213401 its reverse (10431200100001), we get a palindrome (20431300313402).

The spelling of 10000100213401 in words is "ten trillion, one hundred million, two hundred thirteen thousand, four hundred one".