221101221012 has 96 divisors (see below), whose sum is σ = 625072250880. Its totient is φ = 59481682560.

The previous prime is 221101220983. The next prime is 221101221017. The reversal of 221101221012 is 210122101122.

221101221012 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 = 221101220982 and 221101221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101221017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051062 + ... + 1243757.

It is an arithmetic number, because the mean of its divisors is an integer number (6511169280).

Almost surely, 2^221101221012 is an apocalyptic number.

It is an amenable number.

221101221012 is an abundant number, since it is smaller than the sum of its proper divisors (403971029868).

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

221101221012 is a wasteful number, since it uses less digits than its factorization.

221101221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294901 (or 2294899 counting only the distinct ones).

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

Adding to 221101221012 its reverse (210122101122), we get a palindrome (431223322134).

The spelling of 221101221012 in words is "two hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, twelve".