10124100100 has 72 divisors (see below), whose sum is σ = 24063850440. Its totient is φ = 3679979520.

The previous prime is 10124100067. The next prime is 10124100101. The reversal of 10124100100 is 100142101.

It can be written as a sum of positive squares in 12 ways, for example, as 942244416 + 9181855684 = 30696^2 + 95822^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10124100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53379 + ... + 151978.

It is an arithmetic number, because the mean of its divisors is an integer number (334220145).

Almost surely, 2^10124100100 is an apocalyptic number.

10124100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124100100 is an abundant number, since it is smaller than the sum of its proper divisors (13939750340).

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

10124100100 is a wasteful number, since it uses less digits than its factorization.

10124100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205417 (or 205410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10124100100 its reverse (100142101), we get a palindrome (10224242201).

It can be divided in two parts, 10124 and 100100, that added together give a square (110224 = 332²).

The spelling of 10124100100 in words is "ten billion, one hundred twenty-four million, one hundred thousand, one hundred".