221022010221012 has 480 divisors, whose sum is σ = 777264884250624. Its totient is φ = 52890925881600.

The previous prime is 221022010220993. The next prime is 221022010221013. The reversal of 221022010221012 is 210122010220122.

It is a happy number.

221022010221012 is a `hidden beast` number, since 2 + 210 + 220 + 1 + 0 + 221 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022010221013) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168969937 + ... + 170272967.

Almost surely, 2^{221022010221012} is an apocalyptic number.

221022010221012 is a gapful number since it is divisible by the number (22) 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 221022010221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388632442125312).

221022010221012 is an abundant number, since it is smaller than the sum of its proper divisors (556242874029612).

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

221022010221012 is a wasteful number, since it uses less digits than its factorization.

221022010221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303601 (or 1303590 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221022010221012 its reverse (210122010220122), we get a palindrome (431144020441134).

The spelling of 221022010221012 in words is "two hundred twenty-one trillion, twenty-two billion, ten million, two hundred twenty-one thousand, twelve".