221121010200012 has 192 divisors, whose sum is σ = 572882284423680. Its totient is φ = 65947434854400.

The previous prime is 221121010200001. The next prime is 221121010200019. The reversal of 221121010200012 is 210002010121122.

It is a junction number, because it is equal to n+sod(n) for n = 221121010199964 and 221121010200000.

It is not an unprimeable number, because it can be changed into a prime (221121010200019) 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, 3097374414 + ... + 3097445802.

It is an arithmetic number, because the mean of its divisors is an integer number (2983761898040).

Almost surely, 2^{221121010200012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221121010200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286441142211840).

221121010200012 is an abundant number, since it is smaller than the sum of its proper divisors (351761274223668).

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

221121010200012 is a wasteful number, since it uses less digits than its factorization.

221121010200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74584 (or 74582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221121010200012 its reverse (210002010121122), we get a palindrome (431123020321134).

The spelling of 221121010200012 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, ten million, two hundred thousand, twelve".