10221331100 has 72 divisors (see below), whose sum is σ = 23537243520. Its totient is φ = 3844434880.

The previous prime is 10221331091. The next prime is 10221331121. The reversal of 10221331100 is 113312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98039 + ... + 173361.

It is an arithmetic number, because the mean of its divisors is an integer number (326906160).

Almost surely, 2^10221331100 is an apocalyptic number.

10221331100 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 10221331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768621760).

10221331100 is an abundant number, since it is smaller than the sum of its proper divisors (13315912420).

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

10221331100 is a wasteful number, since it uses less digits than its factorization.

10221331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75419 (or 75412 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10221331100 its reverse (113312201), we get a palindrome (10334643301).

The spelling of 10221331100 in words is "ten billion, two hundred twenty-one million, three hundred thirty-one thousand, one hundred".