10005051124100 has 72 divisors (see below), whose sum is σ = 22462948086600. Its totient is φ = 3863446272000.

The previous prime is 10005051124099. The next prime is 10005051124127. The reversal of 10005051124100 is 142115050001.

It can be written as a sum of positive squares in 12 ways, for example, as 2361551386756 + 7643499737344 = 1536734^2 + 2764688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 19551500 + ... + 20056700.

Almost surely, 2^{10005051124100} is an apocalyptic number.

10005051124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005051124100 is an abundant number, since it is smaller than the sum of its proper divisors (12457896962500).

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

10005051124100 is a wasteful number, since it uses less digits than its factorization.

10005051124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512073 (or 512066 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 10005051124100 its reverse (142115050001), we get a palindrome (10147166174101).

The spelling of 10005051124100 in words is "ten trillion, five billion, fifty-one million, one hundred twenty-four thousand, one hundred".