214402141100 has 216 divisors, whose sum is σ = 559917912960. Its totient is φ = 70979328000.

The previous prime is 214402141097. The next prime is 214402141111. The reversal of 214402141100 is 1141204412.

214402141100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82176596 + ... + 82179204.

It is an arithmetic number, because the mean of its divisors is an integer number (2592212560).

Almost surely, 2^214402141100 is an apocalyptic number.

214402141100 is a gapful number since it is divisible by the number (20) 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 214402141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279958956480).

214402141100 is an abundant number, since it is smaller than the sum of its proper divisors (345515771860).

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

214402141100 is a wasteful number, since it uses less digits than its factorization.

214402141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3195 counting only the distinct ones).

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

Adding to 214402141100 its reverse (1141204412), we get a palindrome (215543345512).

The spelling of 214402141100 in words is "two hundred fourteen billion, four hundred two million, one hundred forty-one thousand, one hundred".