14100123002100 has 144 divisors (see below), whose sum is σ = 40917071764800. Its totient is φ = 3748921656320.

The previous prime is 14100123002083. The next prime is 14100123002101. The reversal of 14100123002100 is 120032100141.

14100123002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14100123002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100123002101) 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, 155555992 + ... + 155646608.

It is an arithmetic number, because the mean of its divisors is an integer number (284146331700).

Almost surely, 2^{14100123002100} is an apocalyptic number.

14100123002100 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 14100123002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458535882400).

14100123002100 is an abundant number, since it is smaller than the sum of its proper divisors (26816948762700).

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

14100123002100 is a wasteful number, since it uses less digits than its factorization.

14100123002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92162 (or 92155 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14100123002100 its reverse (120032100141), we get a palindrome (14220155102241).

The spelling of 14100123002100 in words is "fourteen trillion, one hundred billion, one hundred twenty-three million, two thousand, one hundred".