10024314104101 has 16 divisors (see below), whose sum is σ = 11069444836800. Its totient is φ = 9001976359680.

The previous prime is 10024314104089. The next prime is 10024314104107. The reversal of 10024314104101 is 10140141342001.

It is a cyclic number.

It is not a de Polignac number, because 10024314104101 - 2²³ = 10024305715493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024314104107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11790996 + ... + 12612541.

It is an arithmetic number, because the mean of its divisors is an integer number (691840302300).

Almost surely, 2^{10024314104101} is an apocalyptic number.

10024314104101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10024314104101 is a deficient number, since it is larger than the sum of its proper divisors (1045130732699).

10024314104101 is a wasteful number, since it uses less digits than its factorization.

10024314104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24404004.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10024314104101 its reverse (10140141342001), we get a palindrome (20164455446102).

The spelling of 10024314104101 in words is "ten trillion, twenty-four billion, three hundred fourteen million, one hundred four thousand, one hundred one".