110114370100000 has 288 divisors, whose sum is σ = 310962287889792. Its totient is φ = 37596787200000.

The previous prime is 110114370099967. The next prime is 110114370100003. The reversal of 110114370100000 is 1073411011.

It is a happy number.

It is a super-3 number, since 3×110114370100000³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110114370100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168373639 + ... + 169026361.

It is an arithmetic number, because the mean of its divisors is an integer number (1079730166284).

Almost surely, 2^{110114370100000} is an apocalyptic number.

110114370100000 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 110114370100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155481143944896).

110114370100000 is an abundant number, since it is smaller than the sum of its proper divisors (200847917789792).

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

110114370100000 is an frugal number, since it uses more digits than its factorization.

110114370100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653006 (or 652978 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The spelling of 110114370100000 in words is "one hundred ten trillion, one hundred fourteen billion, three hundred seventy million, one hundred thousand".