10211220020200 has 96 divisors (see below), whose sum is σ = 24508933470720. Its totient is φ = 3952406880000.

The previous prime is 10211220020167. The next prime is 10211220020203. The reversal of 10211220020200 is 202002211201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10211220020203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84203610 + ... + 84324790.

It is an arithmetic number, because the mean of its divisors is an integer number (255301390320).

Almost surely, 2^{10211220020200} is an apocalyptic number.

10211220020200 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 10211220020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254466735360).

10211220020200 is an abundant number, since it is smaller than the sum of its proper divisors (14297713450520).

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

10211220020200 is a wasteful number, since it uses less digits than its factorization.

10211220020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134819 (or 134810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10211220020200 its reverse (202002211201), we get a palindrome (10413222231401).

The spelling of 10211220020200 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, twenty thousand, two hundred".