110110120400 has 240 divisors, whose sum is σ = 311266577664. Its totient is φ = 36641341440.

The previous prime is 110110120391. The next prime is 110110120423. The reversal of 110110120400 is 4021011011.

It is a super-2 number, since 2×110110120400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 52109744 + ... + 52111856.

Almost surely, 2^110110120400 is an apocalyptic number.

110110120400 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 110110120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155633288832).

110110120400 is an abundant number, since it is smaller than the sum of its proper divisors (201156457264).

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

110110120400 is a wasteful number, since it uses less digits than its factorization.

110110120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110110120400 its reverse (4021011011), we get a palindrome (114131131411).

The spelling of 110110120400 in words is "one hundred ten billion, one hundred ten million, one hundred twenty thousand, four hundred".