10022212201120 has 288 divisors, whose sum is σ = 27695486262528. Its totient is φ = 3417239734272.

The previous prime is 10022212201109. The next prime is 10022212201123. The reversal of 10022212201120 is 2110221222001.

It is a happy number.

10022212201120 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 = 10022212201094 and 10022212201103.

It is not an unprimeable number, because it can be changed into a prime (10022212201123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100974489 + ... + 1100983591.

It is an arithmetic number, because the mean of its divisors is an integer number (96164882856).

Almost surely, 2^{10022212201120} is an apocalyptic number.

10022212201120 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 10022212201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847743131264).

10022212201120 is an abundant number, since it is smaller than the sum of its proper divisors (17673274061408).

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

10022212201120 is a wasteful number, since it uses less digits than its factorization.

10022212201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10022212201120 its reverse (2110221222001), we get a palindrome (12132433423121).

It can be divided in two parts, 10022212201 and 120, that added together give a square (10022212321 = 100111²).

The spelling of 10022212201120 in words is "ten trillion, twenty-two billion, two hundred twelve million, two hundred one thousand, one hundred twenty".