110101221221112 has 192 divisors, whose sum is σ = 325532755548000. Its totient is φ = 33340046745600.

The previous prime is 110101221221059. The next prime is 110101221221129. The reversal of 110101221221112 is 211122122101011.

It is a happy number.

110101221221112 is a `hidden beast` number, since 1 + 10 + 101 + 221 + 221 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12425367562 + ... + 12425376422.

Almost surely, 2^{110101221221112} is an apocalyptic number.

110101221221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101221221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162766377774000).

110101221221112 is an abundant number, since it is smaller than the sum of its proper divisors (215431534326888).

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

110101221221112 is a wasteful number, since it uses less digits than its factorization.

110101221221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18382 (or 18375 counting only the distinct ones).

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

Adding to 110101221221112 its reverse (211122122101011), we get a palindrome (321223343322123).

The spelling of 110101221221112 in words is "one hundred ten trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twelve".