10123410020 has 48 divisors (see below), whose sum is σ = 21998148480. Its totient is φ = 3910722816.

The previous prime is 10123409909. The next prime is 10123410029. The reversal of 10123410020 is 2001432101.

It is a junction number, because it is equal to n+sod(n) for n = 10123409977 and 10123410004.

It is not an unprimeable number, because it can be changed into a prime (10123410029) 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 15 ways as a sum of consecutive naturals, for example, 10409 + ... + 142671.

It is an arithmetic number, because the mean of its divisors is an integer number (458294760).

Almost surely, 2^10123410020 is an apocalyptic number.

10123410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999074240).

10123410020 is an abundant number, since it is smaller than the sum of its proper divisors (11874738460).

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

10123410020 is a wasteful number, since it uses less digits than its factorization.

10123410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132404 (or 132402 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10123410020 its reverse (2001432101), we get a palindrome (12124842121).

The spelling of 10123410020 in words is "ten billion, one hundred twenty-three million, four hundred ten thousand, twenty".