10120212200 has 384 divisors, whose sum is σ = 29678814720. Its totient is φ = 3130982400.

The previous prime is 10120212173. The next prime is 10120212203. The reversal of 10120212200 is 221202101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10120212203) 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, 89559344 + ... + 89559456.

It is an arithmetic number, because the mean of its divisors is an integer number (77288580).

Almost surely, 2^10120212200 is an apocalyptic number.

10120212200 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 10120212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839407360).

10120212200 is an abundant number, since it is smaller than the sum of its proper divisors (19558602520).

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

10120212200 is a wasteful number, since it uses less digits than its factorization.

10120212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10120212200 its reverse (221202101), we get a palindrome (10341414301).

The spelling of 10120212200 in words is "ten billion, one hundred twenty million, two hundred twelve thousand, two hundred".