20214400100 has 72 divisors (see below), whose sum is σ = 44204462400. Its totient is φ = 8023466880.

The previous prime is 20214400079. The next prime is 20214400133. The reversal of 20214400100 is 100441202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8814554 + ... + 8816846.

Almost surely, 2^20214400100 is an apocalyptic number.

20214400100 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 20214400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102231200).

20214400100 is an abundant number, since it is smaller than the sum of its proper divisors (23990062300).

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

20214400100 is a wasteful number, since it uses less digits than its factorization.

20214400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20214400100 its reverse (100441202), we get a palindrome (20314841302).

The spelling of 20214400100 in words is "twenty billion, two hundred fourteen million, four hundred thousand, one hundred".