14135122100 has 72 divisors (see below), whose sum is σ = 33620827296. Its totient is φ = 5115600000.

The previous prime is 14135122097. The next prime is 14135122159. The reversal of 14135122100 is 122153141.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201650 + ... + 262550.

Almost surely, 2^14135122100 is an apocalyptic number.

14135122100 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 14135122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810413648).

14135122100 is an abundant number, since it is smaller than the sum of its proper divisors (19485705196).

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

14135122100 is a wasteful number, since it uses less digits than its factorization.

14135122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61137 (or 61130 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 14135122100 its reverse (122153141), we get a palindrome (14257275241).

The spelling of 14135122100 in words is "fourteen billion, one hundred thirty-five million, one hundred twenty-two thousand, one hundred".