10211322200 has 48 divisors (see below), whose sum is σ = 23976434160. Its totient is φ = 4044080000.

The previous prime is 10211322181. The next prime is 10211322229. The reversal of 10211322200 is 222311201.

It is a happy number.

It is a super-2 number, since 2×10211322200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232556 + ... + 272955.

It is an arithmetic number, because the mean of its divisors is an integer number (499509045).

Almost surely, 2^10211322200 is an apocalyptic number.

10211322200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211322200 is an abundant number, since it is smaller than the sum of its proper divisors (13765111960).

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

10211322200 is a wasteful number, since it uses less digits than its factorization.

10211322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505628 (or 505619 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10211322200 its reverse (222311201), we get a palindrome (10433633401).

The spelling of 10211322200 in words is "ten billion, two hundred eleven million, three hundred twenty-two thousand, two hundred".