10002123124 has 48 divisors (see below), whose sum is σ = 20565877248. Its totient is φ = 4166512128.

The previous prime is 10002123121. The next prime is 10002123181. The reversal of 10002123124 is 42132120001.

It is a junction number, because it is equal to n+sod(n) for n = 10002123098 and 10002123107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002123121) 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, 1138332 + ... + 1147084.

It is an arithmetic number, because the mean of its divisors is an integer number (428455776).

Almost surely, 2^10002123124 is an apocalyptic number.

10002123124 is a gapful number since it is divisible by the number (14) 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 10002123124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10282938624).

10002123124 is an abundant number, since it is smaller than the sum of its proper divisors (10563754124).

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

10002123124 is a wasteful number, since it uses less digits than its factorization.

10002123124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9904 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10002123124 its reverse (42132120001), we get a palindrome (52134243125).

The spelling of 10002123124 in words is "ten billion, two million, one hundred twenty-three thousand, one hundred twenty-four".