110201114132304 has 480 divisors, whose sum is σ = 319060208839680. Its totient is φ = 32741297971200.

The previous prime is 110201114132297. The next prime is 110201114132401. The reversal of 110201114132304 is 403231411102011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11684982469 + ... + 11684991899.

It is an arithmetic number, because the mean of its divisors is an integer number (664708768416).

Almost surely, 2^{110201114132304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110201114132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159530104419840).

110201114132304 is an abundant number, since it is smaller than the sum of its proper divisors (208859094707376).

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

110201114132304 is a wasteful number, since it uses less digits than its factorization.

110201114132304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 110201114132304 its reverse (403231411102011), we get a palindrome (513432525234315).

The spelling of 110201114132304 in words is "one hundred ten trillion, two hundred one billion, one hundred fourteen million, one hundred thirty-two thousand, three hundred four".