1001005056100 has 72 divisors (see below), whose sum is σ = 2482637212160. Its totient is φ = 343181733120.

The previous prime is 1001005056091. The next prime is 1001005056101. The reversal of 1001005056100 is 16505001001.

It is a super-2 number, since 2×1001005056100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001005056101) 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, 16888717 + ... + 16947883.

Almost surely, 2^{1001005056100} is an apocalyptic number.

1001005056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001005056100 is an abundant number, since it is smaller than the sum of its proper divisors (1481632156060).

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

1001005056100 is a wasteful number, since it uses less digits than its factorization.

1001005056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83357 (or 83350 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 1001005056100 in words is "one trillion, one billion, five million, fifty-six thousand, one hundred".