221000211002112 has 144 divisors (see below), whose sum is σ = 602556535526400. Its totient is φ = 71866676224000.

The previous prime is 221000211002059. The next prime is 221000211002171. The reversal of 221000211002112 is 211200112000122.

221000211002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221000211002091 and 221000211002100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736637737 + ... + 736937687.

It is an arithmetic number, because the mean of its divisors is an integer number (4184420385600).

Almost surely, 2^{221000211002112} 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 221000211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301278267763200).

221000211002112 is an abundant number, since it is smaller than the sum of its proper divisors (381556324524288).

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

221000211002112 is a wasteful number, since it uses less digits than its factorization.

221000211002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323410 (or 323396 counting only the distinct ones).

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

Adding to 221000211002112 its reverse (211200112000122), we get a palindrome (432200323002234).

The spelling of 221000211002112 in words is "two hundred twenty-one trillion, two hundred eleven million, two thousand, one hundred twelve".