10124123100 has 288 divisors, whose sum is σ = 36187683840. Its totient is φ = 2128066560.

The previous prime is 10124123099. The next prime is 10124123117. The reversal of 10124123100 is 132142101.

It is a super-2 number, since 2×10124123100² (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 a self number, because there is not a number n which added to its sum of digits gives 10124123100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9800184 + ... + 9801216.

It is an arithmetic number, because the mean of its divisors is an integer number (125651680).

Almost surely, 2^10124123100 is an apocalyptic number.

10124123100 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 10124123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093841920).

10124123100 is an abundant number, since it is smaller than the sum of its proper divisors (26063560740).

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

10124123100 is a wasteful number, since it uses less digits than its factorization.

10124123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10124123100 its reverse (132142101), we get a palindrome (10256265201).

The spelling of 10124123100 in words is "ten billion, one hundred twenty-four million, one hundred twenty-three thousand, one hundred".