221101022112 has 48 divisors (see below), whose sum is σ = 581905658880. Its totient is φ = 73507899392.

The previous prime is 221101022089. The next prime is 221101022117. The reversal of 221101022112 is 211220101122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×221101022112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221101022091 and 221101022100.

It is not an unprimeable number, because it can be changed into a prime (221101022117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2969937 + ... + 3043472.

It is an arithmetic number, because the mean of its divisors is an integer number (12123034560).

Almost surely, 2^221101022112 is an apocalyptic number.

It is an amenable number.

221101022112 is an abundant number, since it is smaller than the sum of its proper divisors (360804636768).

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

221101022112 is a wasteful number, since it uses less digits than its factorization.

221101022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013805 (or 6013797 counting only the distinct ones).

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

Adding to 221101022112 its reverse (211220101122), we get a palindrome (432321123234).

The spelling of 221101022112 in words is "two hundred twenty-one billion, one hundred one million, twenty-two thousand, one hundred twelve".