110010100001100 has 72 divisors (see below), whose sum is σ = 342780188528400. Its totient is φ = 27079409230080.

The previous prime is 110010100001041. The next prime is 110010100001101. The reversal of 110010100001100 is 1100001010011.

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 not an unprimeable number, because it can be changed into a prime (110010100001101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14103855075 + ... + 14103862874.

Almost surely, 2^{110010100001100} is an apocalyptic number.

110010100001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010100001100 is an abundant number, since it is smaller than the sum of its proper divisors (232770088527300).

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

110010100001100 is a wasteful number, since it uses less digits than its factorization.

110010100001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28207717979 (or 28207717972 counting only the distinct ones).

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

Adding to 110010100001100 its reverse (1100001010011), we get a palindrome (111110101011111).

The spelling of 110010100001100 in words is "one hundred ten trillion, ten billion, one hundred million, one thousand, one hundred".