14034322021100 has 288 divisors, whose sum is σ = 32170465958400. Its totient is φ = 5308764364800.

The previous prime is 14034322021081. The next prime is 14034322021117. The reversal of 14034322021100 is 112022343041.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11345449682 + ... + 11345450918.

It is an arithmetic number, because the mean of its divisors is an integer number (111703006800).

Almost surely, 2^{14034322021100} is an apocalyptic number.

14034322021100 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 14034322021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16085232979200).

14034322021100 is an abundant number, since it is smaller than the sum of its proper divisors (18136143937300).

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

14034322021100 is a wasteful number, since it uses less digits than its factorization.

14034322021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14034322021100 its reverse (112022343041), we get a palindrome (14146344364141).

The spelling of 14034322021100 in words is "fourteen trillion, thirty-four billion, three hundred twenty-two million, twenty-one thousand, one hundred".