20214244100 has 144 divisors (see below), whose sum is σ = 47434464000. Its totient is φ = 7460920320.

The previous prime is 20214244081. The next prime is 20214244103. The reversal of 20214244100 is 144241202.

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

It is not an unprimeable number, because it can be changed into a prime (20214244103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5859176 + ... + 5862624.

It is an arithmetic number, because the mean of its divisors is an integer number (329406000).

Almost surely, 2^20214244100 is an apocalyptic number.

20214244100 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 20214244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23717232000).

20214244100 is an abundant number, since it is smaller than the sum of its proper divisors (27220219900).

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

20214244100 is a wasteful number, since it uses less digits than its factorization.

20214244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20214244100 its reverse (144241202), we get a palindrome (20358485302).

The spelling of 20214244100 in words is "twenty billion, two hundred fourteen million, two hundred forty-four thousand, one hundred".