10212040200 has 144 divisors (see below), whose sum is σ = 33411901680. Its totient is φ = 2579829120.

The previous prime is 10212040187. The next prime is 10212040211. The reversal of 10212040200 is 204021201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193027 + ... + 240173.

It is an arithmetic number, because the mean of its divisors is an integer number (232027095).

Almost surely, 2^10212040200 is an apocalyptic number.

10212040200 is a gapful number since it is divisible by the number (10) 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 10212040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705950840).

10212040200 is an abundant number, since it is smaller than the sum of its proper divisors (23199861480).

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

10212040200 is a wasteful number, since it uses less digits than its factorization.

10212040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47204 (or 47176 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10212040200 its reverse (204021201), we get a palindrome (10416061401).

The spelling of 10212040200 in words is "ten billion, two hundred twelve million, forty thousand, two hundred".