110100112121100 has 36 divisors (see below), whose sum is σ = 318556324404584. Its totient is φ = 29360029898880.

The previous prime is 110100112121071. The next prime is 110100112121137. The reversal of 110100112121100 is 1121211001011.

It is a super-2 number, since 2×110100112121100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183500186569 + ... + 183500187168.

Almost surely, 2^{110100112121100} is an apocalyptic number.

110100112121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100112121100 is an abundant number, since it is smaller than the sum of its proper divisors (208456212283484).

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

110100112121100 is a wasteful number, since it uses less digits than its factorization.

110100112121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367000373754 (or 367000373747 counting only the distinct ones).

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

Adding to 110100112121100 its reverse (1121211001011), we get a palindrome (111221323122111).

The spelling of 110100112121100 in words is "one hundred ten trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".