110122220010132 has 168 divisors, whose sum is σ = 315218400346080. Its totient is φ = 33369035814720.

The previous prime is 110122220010073. The next prime is 110122220010227. The reversal of 110122220010132 is 231010022221011.

110122220010132 is a `hidden beast` number, since 1 + 101 + 222 + 200 + 10 + 132 = 666.

110122220010132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 55 ways as a sum of consecutive naturals, for example, 1055536923 + ... + 1055641245.

It is an arithmetic number, because the mean of its divisors is an integer number (1876300002060).

Almost surely, 2^{110122220010132} is an apocalyptic number.

110122220010132 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 110122220010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157609200173040).

110122220010132 is an abundant number, since it is smaller than the sum of its proper divisors (205096180335948).

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

110122220010132 is a wasteful number, since it uses less digits than its factorization.

110122220010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137265 (or 137248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110122220010132 its reverse (231010022221011), we get a palindrome (341132242231143).

The spelling of 110122220010132 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred twenty million, ten thousand, one hundred thirty-two".