110002022120112 has 160 divisors (see below), whose sum is σ = 305091184432320. Its totient is φ = 34028592168960.

The previous prime is 110002022120101. The next prime is 110002022120131. The reversal of 110002022120112 is 211021220200011.

It is a junction number, because it is equal to n+sod(n) for n = 110002022120091 and 110002022120100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224266812 + ... + 224756772.

It is an arithmetic number, because the mean of its divisors is an integer number (1906819902702).

Almost surely, 2^{110002022120112} is an apocalyptic number.

110002022120112 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 110002022120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152545592216160).

110002022120112 is an abundant number, since it is smaller than the sum of its proper divisors (195089162312208).

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

110002022120112 is a wasteful number, since it uses less digits than its factorization.

110002022120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493831 (or 493825 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110002022120112 its reverse (211021220200011), we get a palindrome (321023242320123).

The spelling of 110002022120112 in words is "one hundred ten trillion, two billion, twenty-two million, one hundred twenty thousand, one hundred twelve".