114010214401100 has 72 divisors (see below), whose sum is σ = 250565612774400. Its totient is φ = 45021108225600.

The previous prime is 114010214401049. The next prime is 114010214401129. The reversal of 114010214401100 is 1104412010411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61648895 + ... + 63471305.

It is an arithmetic number, because the mean of its divisors is an integer number (3480077955200).

Almost surely, 2^{114010214401100} is an apocalyptic number.

114010214401100 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 114010214401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125282806387200).

114010214401100 is an abundant number, since it is smaller than the sum of its proper divisors (136555398373300).

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

114010214401100 is a wasteful number, since it uses less digits than its factorization.

114010214401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830423 (or 1830416 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 114010214401100 its reverse (1104412010411), we get a palindrome (115114626411511).

The spelling of 114010214401100 in words is "one hundred fourteen trillion, ten billion, two hundred fourteen million, four hundred one thousand, one hundred".