110100414120200 has 96 divisors (see below), whose sum is σ = 292554856719360. Its totient is φ = 37748413056000.

The previous prime is 110100414120197. The next prime is 110100414120211. The reversal of 110100414120200 is 2021414001011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243574400 + ... + 244026000.

It is an arithmetic number, because the mean of its divisors is an integer number (3047446424160).

Almost surely, 2^{110100414120200} is an apocalyptic number.

110100414120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100414120200 is an abundant number, since it is smaller than the sum of its proper divisors (182454442599160).

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

110100414120200 is a wasteful number, since it uses less digits than its factorization.

110100414120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625767 (or 625758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 110100414120200 its reverse (2021414001011), we get a palindrome (112121828121211).

The spelling of 110100414120200 in words is "one hundred ten trillion, one hundred billion, four hundred fourteen million, one hundred twenty thousand, two hundred".