10222122022120 has 128 divisors (see below), whose sum is σ = 24379176074400. Its totient is φ = 3850618060800.

The previous prime is 10222122022117. The next prime is 10222122022171. The reversal of 10222122022120 is 2122022122201.

It can be written as a sum of positive squares in 16 ways, for example, as 237798621316 + 9984323400804 = 487646^2 + 3159798^2 .

It is a super-2 number, since 2×10222122022120² (a number of 27 digits) contains 22 as substring.

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, 211189762 + ... + 211238158.

Almost surely, 2^{10222122022120} is an apocalyptic number.

10222122022120 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 10222122022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189588037200).

10222122022120 is an abundant number, since it is smaller than the sum of its proper divisors (14157054052280).

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

10222122022120 is a wasteful number, since it uses less digits than its factorization.

10222122022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52919 (or 52915 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10222122022120 its reverse (2122022122201), we get a palindrome (12344144144321).

The spelling of 10222122022120 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".