10124234100 has 108 divisors (see below), whose sum is σ = 31842985356. Its totient is φ = 2690511360.

The previous prime is 10124234089. The next prime is 10124234129. The reversal of 10124234100 is 143242101.

10124234100 is a `hidden beast` number, since 10 + 1 + 242 + 3 + 410 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14333796 + 10109900304 = 3786^2 + 100548^2 .

It is a super-2 number, since 2×10124234100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 244504 + ... + 282896.

It is an arithmetic number, because the mean of its divisors is an integer number (294842457).

Almost surely, 2^10124234100 is an apocalyptic number.

10124234100 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 10124234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921492678).

10124234100 is an abundant number, since it is smaller than the sum of its proper divisors (21718751256).

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

10124234100 is a wasteful number, since it uses less digits than its factorization.

10124234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38706 (or 38696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10124234100 its reverse (143242101), we get a palindrome (10267476201).

The spelling of 10124234100 in words is "ten billion, one hundred twenty-four million, two hundred thirty-four thousand, one hundred".