221100010112 has 64 divisors (see below), whose sum is σ = 448947826560. Its totient is φ = 108424442880.

The previous prime is 221100010067. The next prime is 221100010127. The reversal of 221100010112 is 211010001122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 221100010093 and 221100010102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28699253 + ... + 28706955.

It is an arithmetic number, because the mean of its divisors is an integer number (7014809790).

Almost surely, 2^221100010112 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 221100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224473913280).

221100010112 is an abundant number, since it is smaller than the sum of its proper divisors (227847816448).

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

221100010112 is an equidigital number, since it uses as much as digits as its factorization.

221100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221100010112 its reverse (211010001122), we get a palindrome (432110011234).

The spelling of 221100010112 in words is "two hundred twenty-one billion, one hundred million, ten thousand, one hundred twelve".