10222211321120 has 24 divisors (see below), whose sum is σ = 24149974246524. Its totient is φ = 4088884528384.

The previous prime is 10222211321081. The next prime is 10222211321137. The reversal of 10222211321120 is 2112311222201.

It can be written as a sum of positive squares in 2 ways, for example, as 9837230782096 + 384980539024 = 3136436^2 + 620468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10222211321092 and 10222211321101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31944410219 + ... + 31944410538.

Almost surely, 2^{10222211321120} is an apocalyptic number.

10222211321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222211321120 is an abundant number, since it is smaller than the sum of its proper divisors (13927762925404).

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

10222211321120 is an equidigital number, since it uses as much as digits as its factorization.

10222211321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63888820772 (or 63888820764 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10222211321120 its reverse (2112311222201), we get a palindrome (12334522543321).

The spelling of 10222211321120 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, three hundred twenty-one thousand, one hundred twenty".