110010121121100 has 144 divisors (see below), whose sum is σ = 318649034906496. Its totient is φ = 29303505600000.

The previous prime is 110010121121023. The next prime is 110010121121179. The reversal of 110010121121100 is 1121121010011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176645355 + ... + 1176738845.

It is an arithmetic number, because the mean of its divisors is an integer number (2212840520184).

Almost surely, 2^{110010121121100} is an apocalyptic number.

110010121121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010121121100 is an abundant number, since it is smaller than the sum of its proper divisors (208638913785396).

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

110010121121100 is a wasteful number, since it uses less digits than its factorization.

110010121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97816 (or 97809 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110010121121100 its reverse (1121121010011), we get a palindrome (111131242131111).

The spelling of 110010121121100 in words is "one hundred ten trillion, ten billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".