10221110112120 has 32 divisors (see below), whose sum is σ = 30663330336720. Its totient is φ = 2725629363200.

The previous prime is 10221110112107. The next prime is 10221110112127. The reversal of 10221110112120 is 2121101112201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221110112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221110112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42587958681 + ... + 42587958920.

Almost surely, 2^{10221110112120} is an apocalyptic number.

10221110112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221110112120 is an abundant number, since it is smaller than the sum of its proper divisors (20442220224600).

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

10221110112120 is a wasteful number, since it uses less digits than its factorization.

10221110112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85175917615 (or 85175917611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10221110112120 its reverse (2121101112201), we get a palindrome (12342211224321).

The spelling of 10221110112120 in words is "ten trillion, two hundred twenty-one billion, one hundred ten million, one hundred twelve thousand, one hundred twenty".