221221011012100 has 576 divisors, whose sum is σ = 570574730880000. Its totient is φ = 73584796723200.

The previous prime is 221221011012097. The next prime is 221221011012149. The reversal of 221221011012100 is 1210110122122.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27830038926 + ... + 27830046874.

It is an arithmetic number, because the mean of its divisors is an integer number (990581130000).

Almost surely, 2^{221221011012100} is an apocalyptic number.

221221011012100 is a gapful number since it is divisible by the number (20) 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 221221011012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285287365440000).

221221011012100 is an abundant number, since it is smaller than the sum of its proper divisors (349353719867900).

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

221221011012100 is a wasteful number, since it uses less digits than its factorization.

221221011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8381 counting only the distinct ones).

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

Adding to 221221011012100 its reverse (1210110122122), we get a palindrome (222431121134222).

The spelling of 221221011012100 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, eleven million, twelve thousand, one hundred".