10112022211120 has 160 divisors (see below), whose sum is σ = 24195598257600. Its totient is φ = 3928907550720.

The previous prime is 10112022211103. The next prime is 10112022211139. The reversal of 10112022211120 is 2111222021101.

10112022211120 is digitally balanced in base 2, 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 10112022211094 and 10112022211103.

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, 125751567 + ... + 125831953.

It is an arithmetic number, because the mean of its divisors is an integer number (151222489110).

Almost surely, 2^{10112022211120} is an apocalyptic number.

10112022211120 is a gapful number since it is divisible by the number (10) 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 10112022211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097799128800).

10112022211120 is an abundant number, since it is smaller than the sum of its proper divisors (14083576046480).

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

10112022211120 is a wasteful number, since it uses less digits than its factorization.

10112022211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80783 (or 80777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10112022211120 its reverse (2111222021101), we get a palindrome (12223244232221).

The spelling of 10112022211120 in words is "ten trillion, one hundred twelve billion, twenty-two million, two hundred eleven thousand, one hundred twenty".