221211210121000 has 256 divisors, whose sum is σ = 580370021637120. Its totient is φ = 78223572000000.

The previous prime is 221211210120991. The next prime is 221211210121007. The reversal of 221211210121000 is 121012112122.

It is not an unprimeable number, because it can be changed into a prime (221211210121007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106340875 + ... + 108401125.

It is an arithmetic number, because the mean of its divisors is an integer number (2267070397020).

Almost surely, 2^{221211210121000} is an apocalyptic number.

221211210121000 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 221211210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290185010818560).

221211210121000 is an abundant number, since it is smaller than the sum of its proper divisors (359158811516120).

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

221211210121000 is a wasteful number, since it uses less digits than its factorization.

221211210121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060553 (or 2060539 counting only the distinct ones).

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

Adding to 221211210121000 its reverse (121012112122), we get a palindrome (221332222233122).

The spelling of 221211210121000 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand".