14102122100 has 72 divisors (see below), whose sum is σ = 33558852096. Its totient is φ = 5101120000.

The previous prime is 14102122091. The next prime is 14102122109. The reversal of 14102122100 is 122120141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14102122091) and next prime (14102122109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102122109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176540 + ... + 243660.

It is an arithmetic number, because the mean of its divisors is an integer number (466095168).

Almost surely, 2^14102122100 is an apocalyptic number.

14102122100 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 14102122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16779426048).

14102122100 is an abundant number, since it is smaller than the sum of its proper divisors (19456729996).

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

14102122100 is a wasteful number, since it uses less digits than its factorization.

14102122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67337 (or 67330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 14102122100 its reverse (122120141), we get a palindrome (14224242241).

The spelling of 14102122100 in words is "fourteen billion, one hundred two million, one hundred twenty-two thousand, one hundred".