10034123010 has 128 divisors (see below), whose sum is σ = 26139469824. Its totient is φ = 2455833600.

The previous prime is 10034123009. The next prime is 10034123087. The reversal of 10034123010 is 1032143001.

It is a super-2 number, since 2×10034123010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3518085 + ... + 3520935.

It is an arithmetic number, because the mean of its divisors is an integer number (204214608).

Almost surely, 2^10034123010 is an apocalyptic number.

10034123010 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 10034123010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069734912).

10034123010 is an abundant number, since it is smaller than the sum of its proper divisors (16105346814).

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

10034123010 is a wasteful number, since it uses less digits than its factorization.

10034123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10034123010 its reverse (1032143001), we get a palindrome (11066266011).

The spelling of 10034123010 in words is "ten billion, thirty-four million, one hundred twenty-three thousand, ten".