10011000101100 has 144 divisors (see below), whose sum is σ = 29975090804736. Its totient is φ = 2577620448000.

The previous prime is 10011000101083. The next prime is 10011000101111. The reversal of 10011000101100 is 110100011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1988236 + ... + 4896435.

Almost surely, 2^{10011000101100} is an apocalyptic number.

10011000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000101100 is an abundant number, since it is smaller than the sum of its proper divisors (19964090703636).

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

10011000101100 is a wasteful number, since it uses less digits than its factorization.

10011000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884856 (or 6884849 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011000101100 its reverse (110100011001), we get a palindrome (10121100112101).

Subtracting from 10011000101100 its reverse (110100011001), we obtain a palindrome (9900900090099).

The spelling of 10011000101100 in words is "ten trillion, eleven billion, one hundred one thousand, one hundred".