10221011121120 has 48 divisors (see below), whose sum is σ = 32196185033040. Its totient is φ = 2725602965504.

The previous prime is 10221011121109. The next prime is 10221011121127. The reversal of 10221011121120 is 2112111012201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10221011121120³ (a number of 40 digits) contains 333 as substring.

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 10221011121120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221011121127) 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, 10646886105 + ... + 10646887064.

It is an arithmetic number, because the mean of its divisors is an integer number (670753854855).

Almost surely, 2^{10221011121120} is an apocalyptic number.

10221011121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221011121120 is an abundant number, since it is smaller than the sum of its proper divisors (21975173911920).

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

10221011121120 is a wasteful number, since it uses less digits than its factorization.

10221011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21293773187 (or 21293773179 counting only the distinct ones).

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

Adding to 10221011121120 its reverse (2112111012201), we get a palindrome (12333122133321).

The spelling of 10221011121120 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one hundred twenty".