10221212101120 has 80 divisors (see below), whose sum is σ = 24630104822400. Its totient is φ = 4067939487744.

The previous prime is 10221212101091. The next prime is 10221212101147. The reversal of 10221212101120 is 2110121212201.

10221212101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10221212101120³ (a number of 40 digits) contains 333 as substring.

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 = 10221212101094 and 10221212101103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9522372 + ... + 10541251.

It is an arithmetic number, because the mean of its divisors is an integer number (307876310280).

Almost surely, 2^{10221212101120} is an apocalyptic number.

10221212101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221212101120 is an abundant number, since it is smaller than the sum of its proper divisors (14408892721280).

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

10221212101120 is an equidigital number, since it uses as much as digits as its factorization.

10221212101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20063845 (or 20063829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221212101120 its reverse (2110121212201), we get a palindrome (12331333313321).

The spelling of 10221212101120 in words is "ten trillion, two hundred twenty-one billion, two hundred twelve million, one hundred one thousand, one hundred twenty".