10001123310 has 64 divisors (see below), whose sum is σ = 24683097600. Its totient is φ = 2591551872.

The previous prime is 10001123287. The next prime is 10001123329. The reversal of 10001123310 is 1332110001.

10001123310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10001123310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925921 + ... + 936659.

It is an arithmetic number, because the mean of its divisors is an integer number (385673400).

Almost surely, 2^10001123310 is an apocalyptic number.

10001123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341548800).

10001123310 is an abundant number, since it is smaller than the sum of its proper divisors (14681974290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001123310 is a wasteful number, since it uses less digits than its factorization.

10001123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10001123310 its reverse (1332110001), we get a palindrome (11333233311).

It can be divided in two parts, 100011 and 23310, that added together give a palindrome (123321).

The spelling of 10001123310 in words is "ten billion, one million, one hundred twenty-three thousand, three hundred ten".