1001132124100 has 36 divisors (see below), whose sum is σ = 2173679636884. Its totient is φ = 400227425280.

The previous prime is 1001132124073. The next prime is 1001132124173. The reversal of 1001132124100 is 14212311001.

It can be written as a sum of positive squares in 6 ways, for example, as 53048223684 + 948083900416 = 230322^2 + 973696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2639217 + ... + 2994616.

Almost surely, 2^{1001132124100} is an apocalyptic number.

1001132124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001132124100 is an abundant number, since it is smaller than the sum of its proper divisors (1172547512784).

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

1001132124100 is a wasteful number, since it uses less digits than its factorization.

1001132124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635624 (or 5635617 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1001132124100 its reverse (14212311001), we get a palindrome (1015344435101).

The spelling of 1001132124100 in words is "one trillion, one billion, one hundred thirty-two million, one hundred twenty-four thousand, one hundred".