14210101120 has 64 divisors (see below), whose sum is σ = 34238707200. Its totient is φ = 5639251968.

The previous prime is 14210101111. The next prime is 14210101127. The reversal of 14210101120 is 2110101241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 14210101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14210101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6135 + ... + 168694.

It is an arithmetic number, because the mean of its divisors is an integer number (534979800).

Almost surely, 2^14210101120 is an apocalyptic number.

14210101120 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 14210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17119353600).

14210101120 is an abundant number, since it is smaller than the sum of its proper divisors (20028606080).

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

14210101120 is a wasteful number, since it uses less digits than its factorization.

14210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174975 (or 174963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 14210101120 its reverse (2110101241), we get a palindrome (16320202361).

The spelling of 14210101120 in words is "fourteen billion, two hundred ten million, one hundred one thousand, one hundred twenty".