221101201112112 has 60 divisors (see below), whose sum is σ = 619458501497160. Its totient is φ = 73619142994944.

The previous prime is 221101201112101. The next prime is 221101201112119. The reversal of 221101201112112 is 211211102101122.

It is a happy number.

221101201112112 is a `hidden beast` number, since 221 + 1 + 0 + 120 + 111 + 211 + 2 = 666.

It is a super-2 number, since 2×221101201112112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (221101201112119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846299937 + ... + 846561152.

It is an arithmetic number, because the mean of its divisors is an integer number (10324308358286).

Almost surely, 2^{221101201112112} is an apocalyptic number.

It is an amenable number.

221101201112112 is an abundant number, since it is smaller than the sum of its proper divisors (398357300385048).

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

221101201112112 is a wasteful number, since it uses less digits than its factorization.

221101201112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692862010 (or 1692862001 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221101201112112 its reverse (211211102101122), we get a palindrome (432312303213234).

It can be divided in two parts, 22110120 and 1112112, that added together give a palindrome (23222232).

The spelling of 221101201112112 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred one million, one hundred twelve thousand, one hundred twelve".