10221211221100 has 288 divisors, whose sum is σ = 24760604594880. Its totient is φ = 3631288320000.

The previous prime is 10221211221017. The next prime is 10221211221119. The reversal of 10221211221100 is 112211212201.

It is a super-3 number, since 3×10221211221100³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7880655652 + ... + 7880656948.

It is an arithmetic number, because the mean of its divisors is an integer number (85974321510).

Almost surely, 2^{10221211221100} is an apocalyptic number.

10221211221100 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 10221211221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380302297440).

10221211221100 is an abundant number, since it is smaller than the sum of its proper divisors (14539393373780).

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

10221211221100 is a wasteful number, since it uses less digits than its factorization.

10221211221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221211221100 its reverse (112211212201), we get a palindrome (10333422433301).

The spelling of 10221211221100 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred".