10010011001100 has 144 divisors (see below), whose sum is σ = 31597854274560. Its totient is φ = 2426468140800.

The previous prime is 10010011001087. The next prime is 10010011001101. The reversal of 10010011001100 is 110011001001.

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.

10010011001100 is a modest number, since divided by 11001100 gives 100100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10010011001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41800506 + ... + 42039294.

Almost surely, 2^{10010011001100} is an apocalyptic number.

10010011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010011001100 is an abundant number, since it is smaller than the sum of its proper divisors (21587843273460).

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

10010011001100 is a wasteful number, since it uses less digits than its factorization.

10010011001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251520 (or 251513 counting only the distinct ones).

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

Adding to 10010011001100 its reverse (110011001001), we get a palindrome (10120022002101).

Subtracting from 10010011001100 its reverse (110011001001), we obtain a palindrome (9900000000099).

The spelling of 10010011001100 in words is "ten trillion, ten billion, eleven million, one thousand, one hundred".