221102264845312 has 352 divisors, whose sum is σ = 501560816117760. Its totient is φ = 96793804800000.

The previous prime is 221102264845289. The next prime is 221102264845337. The reversal of 221102264845312 is 213548462201122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5894312637 + ... + 5894350147.

Almost surely, 2^{221102264845312} 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 221102264845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250780408058880).

221102264845312 is an abundant number, since it is smaller than the sum of its proper divisors (280458551272448).

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

221102264845312 is a wasteful number, since it uses less digits than its factorization.

221102264845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37889 (or 37871 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 221102264845312 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred sixty-four million, eight hundred forty-five thousand, three hundred twelve".