20334101100 has 288 divisors, whose sum is σ = 63032424000. Its totient is φ = 5051289600.

The previous prime is 20334101057. The next prime is 20334101101. The reversal of 20334101100 is 110143302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20334101100.

It is not an unprimeable number, because it can be changed into a prime (20334101101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58263726 + ... + 58264074.

Almost surely, 2^20334101100 is an apocalyptic number.

20334101100 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 20334101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31516212000).

20334101100 is an abundant number, since it is smaller than the sum of its proper divisors (42698322900).

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

20334101100 is a wasteful number, since it uses less digits than its factorization.

20334101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20334101100 its reverse (110143302), we get a palindrome (20444244402).

The spelling of 20334101100 in words is "twenty billion, three hundred thirty-four million, one hundred one thousand, one hundred".