10211891200 has 144 divisors (see below), whose sum is σ = 28937366640. Its totient is φ = 3501096960.

The previous prime is 10211891161. The next prime is 10211891243. The reversal of 10211891200 is 219811201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344154 + ... + 372646.

It is an arithmetic number, because the mean of its divisors is an integer number (200953935).

Almost surely, 2^10211891200 is an apocalyptic number.

10211891200 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 10211891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468683320).

10211891200 is an abundant number, since it is smaller than the sum of its proper divisors (18725475440).

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

10211891200 is an equidigital number, since it uses as much as digits as its factorization.

10211891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28532 (or 28507 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 10211891200 in words is "ten billion, two hundred eleven million, eight hundred ninety-one thousand, two hundred".