221112112100112 has 30 divisors (see below), whose sum is σ = 618806813725022. Its totient is φ = 73704037366656.

The previous prime is 221112112100083. The next prime is 221112112100119. The reversal of 221112112100112 is 211001211211122.

It is a happy number.

221112112100112 is a `hidden beast` number, since 22 + 111 + 211 + 210 + 0 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203480981384976 + 17631130715136 = 14264676^2 + 4198944^2 .

It is a super-2 number, since 2×221112112100112² (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 (221112112100119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 767750389093 + ... + 767750389380.

Almost surely, 2^{221112112100112} is an apocalyptic number.

It is an amenable number.

221112112100112 is an abundant number, since it is smaller than the sum of its proper divisors (397694701624910).

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

221112112100112 is a wasteful number, since it uses less digits than its factorization.

221112112100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535500778487 (or 1535500778478 counting only the distinct ones).

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

Adding to 221112112100112 its reverse (211001211211122), we get a palindrome (432113323311234).

The spelling of 221112112100112 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twelve million, one hundred thousand, one hundred twelve".