114311143112100 has 288 divisors, whose sum is σ = 370352170944000. Its totient is φ = 26987496883200.

The previous prime is 114311143112093. The next prime is 114311143112107. The reversal of 114311143112100 is 1211341113411.

It is an interprime number because it is at equal distance from previous prime (114311143112093) and next prime (114311143112107).

It is not an unprimeable number, because it can be changed into a prime (114311143112107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18089376 + ... + 23576424.

It is an arithmetic number, because the mean of its divisors is an integer number (1285945038000).

Almost surely, 2^{114311143112100} is an apocalyptic number.

114311143112100 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 114311143112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185176085472000).

114311143112100 is an abundant number, since it is smaller than the sum of its proper divisors (256041027831900).

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

114311143112100 is a wasteful number, since it uses less digits than its factorization.

114311143112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487243 (or 5487236 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 114311143112100 its reverse (1211341113411), we get a palindrome (115522484225511).

The spelling of 114311143112100 in words is "one hundred fourteen trillion, three hundred eleven billion, one hundred forty-three million, one hundred twelve thousand, one hundred".