10134124124100 has 288 divisors, whose sum is σ = 31163242091520. Its totient is φ = 2535537738240.

The previous prime is 10134124124077. The next prime is 10134124124167. The reversal of 10134124124100 is 142142143101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274715857 + ... + 274752743.

Almost surely, 2^{10134124124100} is an apocalyptic number.

10134124124100 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 10134124124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581621045760).

10134124124100 is an abundant number, since it is smaller than the sum of its proper divisors (21029117967420).

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

10134124124100 is a wasteful number, since it uses less digits than its factorization.

10134124124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37387 (or 37380 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10134124124100 its reverse (142142143101), we get a palindrome (10276266267201).

The spelling of 10134124124100 in words is "ten trillion, one hundred thirty-four billion, one hundred twenty-four million, one hundred twenty-four thousand, one hundred".