110112110002000 has 80 divisors (see below), whose sum is σ = 267355859428944. Its totient is φ = 43862085120000.

The previous prime is 110112110001983. The next prime is 110112110002051. The reversal of 110112110002000 is 200011211011.

It can be written as a sum of positive squares in 8 ways, for example, as 2244027968064 + 107868082033936 = 1498008^2 + 10385956^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113742181 + ... + 114706180.

Almost surely, 2^{110112110002000} is an apocalyptic number.

110112110002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112110002000 is an abundant number, since it is smaller than the sum of its proper divisors (157243749426944).

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

110112110002000 is a wasteful number, since it uses less digits than its factorization.

110112110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228448625 (or 228448609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110112110002000 its reverse (200011211011), we get a palindrome (110312121213011).

The spelling of 110112110002000 in words is "one hundred ten trillion, one hundred twelve billion, one hundred ten million, two thousand".