100110011001100 has 36 divisors (see below), whose sum is σ = 219231739711600. Its totient is φ = 39676628208960.

The previous prime is 100110011001083. The next prime is 100110011001101. The reversal of 100110011001100 is 1100110011001.

It is a happy number.

100110011001100 is a modest number, since divided by 11001100 gives 1001100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100110011001101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4592191440 + ... + 4592213239.

Almost surely, 2^{100110011001100} is an apocalyptic number.

100110011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110011001100 is an abundant number, since it is smaller than the sum of its proper divisors (119121728710500).

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

100110011001100 is a wasteful number, since it uses less digits than its factorization.

100110011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184404802 (or 9184404795 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110011001100 its reverse (1100110011001), we get a palindrome (101210121012101).

Subtracting from 100110011001100 its reverse (1100110011001), we obtain a palindrome (99009900990099).

The spelling of 100110011001100 in words is "one hundred trillion, one hundred ten billion, eleven million, one thousand, one hundred".