221221020102012 has 144 divisors (see below), whose sum is σ = 639520351142400. Its totient is φ = 63162753575040.

The previous prime is 221221020101959. The next prime is 221221020102037. The reversal of 221221020102012 is 210201020122122.

It is a happy number.

221221020102012 is a `hidden beast` number, since 221 + 2 + 210 + 20 + 10 + 201 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5956550539 + ... + 5956587677.

It is an arithmetic number, because the mean of its divisors is an integer number (4441113549600).

Almost surely, 2^{221221020102012} is an apocalyptic number.

It is an amenable number.

221221020102012 is an abundant number, since it is smaller than the sum of its proper divisors (418299331040388).

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

221221020102012 is a wasteful number, since it uses less digits than its factorization.

221221020102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52696 (or 52691 counting only the distinct ones).

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

Adding to 221221020102012 its reverse (210201020122122), we get a palindrome (431422040224134).

The spelling of 221221020102012 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, twenty million, one hundred two thousand, twelve".