14214001222100 has 72 divisors (see below), whose sum is σ = 31271138753400. Its totient is φ = 5607264256000.

The previous prime is 14214001222079. The next prime is 14214001222121. The reversal of 14214001222100 is 122210041241.

It is an interprime number because it is at equal distance from previous prime (14214001222079) and next prime (14214001222121).

It can be written as a sum of positive squares in 12 ways, for example, as 3192318330436 + 11021682891664 = 1786706^2 + 3319892^2 .

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, 1409300 + ... + 5514900.

It is an arithmetic number, because the mean of its divisors is an integer number (434321371575).

Almost surely, 2^{14214001222100} is an apocalyptic number.

14214001222100 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 14214001222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15635569376700).

14214001222100 is an abundant number, since it is smaller than the sum of its proper divisors (17057137531300).

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

14214001222100 is a wasteful number, since it uses less digits than its factorization.

14214001222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106093 (or 4106086 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14214001222100 its reverse (122210041241), we get a palindrome (14336211263341).

The spelling of 14214001222100 in words is "fourteen trillion, two hundred fourteen billion, one million, two hundred twenty-two thousand, one hundred".