1001000100884 has 96 divisors (see below), whose sum is σ = 2115719934720. Its totient is φ = 404813832192.

The previous prime is 1001000100883. The next prime is 1001000100913. The reversal of 1001000100884 is 4880010001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000100883) 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 31 ways as a sum of consecutive naturals, for example, 150004172 + ... + 150010844.

It is an arithmetic number, because the mean of its divisors is an integer number (22038749320).

Almost surely, 2^{1001000100884} is an apocalyptic number.

1001000100884 is a gapful number since it is divisible by the number (14) 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 1001000100884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057859967360).

1001000100884 is an abundant number, since it is smaller than the sum of its proper divisors (1114719833836).

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

1001000100884 is a wasteful number, since it uses less digits than its factorization.

1001000100884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 1001000100884 its reverse (4880010001001), we get a palindrome (5881010101885).

The spelling of 1001000100884 in words is "one trillion, one billion, one hundred thousand, eight hundred eighty-four".