14166102267100 has 144 divisors (see below), whose sum is σ = 35981219276800. Its totient is φ = 4839023851200.

The previous prime is 14166102267071. The next prime is 14166102267113. The reversal of 14166102267100 is 176220166141.

It is a self number, because there is not a number n which added to its sum of digits gives 14166102267100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8533297 + ... + 10057303.

Almost surely, 2^{14166102267100} is an apocalyptic number.

14166102267100 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 14166102267100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990609638400).

14166102267100 is an abundant number, since it is smaller than the sum of its proper divisors (21815117009700).

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

14166102267100 is a wasteful number, since it uses less digits than its factorization.

14166102267100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524313 (or 1524292 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 14166102267100 in words is "fourteen trillion, one hundred sixty-six billion, one hundred two million, two hundred sixty-seven thousand, one hundred".