10011000000100 has 72 divisors (see below), whose sum is σ = 24087271815936. Its totient is φ = 3580685520000.

The previous prime is 10011000000091. The next prime is 10011000000101. The reversal of 10011000000100 is 100000011001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10011000000100.

It is not an unprimeable number, because it can be changed into a prime (10011000000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74530516 + ... + 74664715.

It is an arithmetic number, because the mean of its divisors is an integer number (334545441888).

Almost surely, 2^{10011000000100} is an apocalyptic number.

10011000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000000100 is an abundant number, since it is smaller than the sum of its proper divisors (14076271815836).

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

10011000000100 is a wasteful number, since it uses less digits than its factorization.

10011000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149195317 (or 149195310 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10011000000100 its reverse (100000011001), we get a palindrome (10111000011101).

The spelling of 10011000000100 in words is "ten trillion, eleven billion, one hundred", and thus it is an aban number.