110000110100100 has 144 divisors (see below), whose sum is σ = 347223759798720. Its totient is φ = 26664895180800.

The previous prime is 110000110100021. The next prime is 110000110100119. The reversal of 110000110100100 is 1001011000011.

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, 48149304 + ... + 50382096.

Almost surely, 2^{110000110100100} is an apocalyptic number.

110000110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000110100100 is an abundant number, since it is smaller than the sum of its proper divisors (237223649698620).

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

110000110100100 is a wasteful number, since it uses less digits than its factorization.

110000110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247750 (or 2247743 counting only the distinct ones).

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

Adding to 110000110100100 its reverse (1001011000011), we get a palindrome (111001121100111).

The spelling of 110000110100100 in words is "one hundred ten trillion, one hundred ten million, one hundred thousand, one hundred".