10022213022120 has 384 divisors, whose sum is σ = 35604141300000. Its totient is φ = 2430191960064.

The previous prime is 10022213022079. The next prime is 10022213022131. The reversal of 10022213022120 is 2122031222001.

10022213022120 is a `hidden beast` number, since 100 + 2 + 221 + 302 + 21 + 20 = 666.

10022213022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 124607588004 + 9897605434116 = 352998^2 + 3146046^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10022213022093 and 10022213022102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111999156 + ... + 112088604.

Almost surely, 2^{10022213022120} is an apocalyptic number.

10022213022120 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 10022213022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802070650000).

10022213022120 is an abundant number, since it is smaller than the sum of its proper divisors (25581928277880).

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

10022213022120 is a wasteful number, since it uses less digits than its factorization.

10022213022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89837 (or 89830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10022213022120 its reverse (2122031222001), we get a palindrome (12144244244121).

The spelling of 10022213022120 in words is "ten trillion, twenty-two billion, two hundred thirteen million, twenty-two thousand, one hundred twenty".