10222102401120 has 288 divisors, whose sum is σ = 35401287841920. Its totient is φ = 2685537054720.

The previous prime is 10222102401107. The next prime is 10222102401187. The reversal of 10222102401120 is 2110420122201.

10222102401120 is a `hidden beast` number, since 10 + 22 + 210 + 2 + 401 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 10222102401093 and 10222102401102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52345902 + ... + 52540818.

It is an arithmetic number, because the mean of its divisors is an integer number (122921138340).

Almost surely, 2^{10222102401120} is an apocalyptic number.

10222102401120 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 10222102401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700643920960).

10222102401120 is an abundant number, since it is smaller than the sum of its proper divisors (25179185440800).

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

10222102401120 is a wasteful number, since it uses less digits than its factorization.

10222102401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195478 (or 195467 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222102401120 its reverse (2110420122201), we get a palindrome (12332522523321).

The spelling of 10222102401120 in words is "ten trillion, two hundred twenty-two billion, one hundred two million, four hundred one thousand, one hundred twenty".