110201120112200 has 144 divisors (see below), whose sum is σ = 277875613845900. Its totient is φ = 40626157977600.

The previous prime is 110201120112157. The next prime is 110201120112287. The reversal of 110201120112200 is 2211021102011.

It can be written as a sum of positive squares in 18 ways, for example, as 14161237712164 + 96039882400036 = 3763142^2 + 9799994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19122596 + ... + 24209004.

Almost surely, 2^{110201120112200} is an apocalyptic number.

110201120112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110201120112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138937806922950).

110201120112200 is an abundant number, since it is smaller than the sum of its proper divisors (167674493733700).

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

110201120112200 is a wasteful number, since it uses less digits than its factorization.

110201120112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087092 (or 5087070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110201120112200 its reverse (2211021102011), we get a palindrome (112412141214211).

The spelling of 110201120112200 in words is "one hundred ten trillion, two hundred one billion, one hundred twenty million, one hundred twelve thousand, two hundred".