20010103200 has 432 divisors, whose sum is σ = 74836210176. Its totient is φ = 5022259200.

The previous prime is 20010103199. The next prime is 20010103207. The reversal of 20010103200 is 230101002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20010103207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8257189 + ... + 8259611.

It is an arithmetic number, because the mean of its divisors is an integer number (173231968).

Almost surely, 2^20010103200 is an apocalyptic number.

20010103200 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 20010103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37418105088).

20010103200 is an abundant number, since it is smaller than the sum of its proper divisors (54826106976).

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

20010103200 is a wasteful number, since it uses less digits than its factorization.

20010103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20010103200 its reverse (230101002), we get a palindrome (20240204202).

The spelling of 20010103200 in words is "twenty billion, ten million, one hundred three thousand, two hundred".