221010001121120 has 48 divisors (see below), whose sum is σ = 522270665608608. Its totient is φ = 88381221534720.

The previous prime is 221010001121113. The next prime is 221010001121123. The reversal of 221010001121120 is 21121100010122.

It is a super-3 number, since 3×221010001121120³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221010001121095 and 221010001121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010001121123) 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, 177337364 + ... + 178579283.

It is an arithmetic number, because the mean of its divisors is an integer number (10880638866846).

Almost surely, 2^{221010001121120} is an apocalyptic number.

221010001121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010001121120 is an abundant number, since it is smaller than the sum of its proper divisors (301260664487488).

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

221010001121120 is a wasteful number, since it uses less digits than its factorization.

221010001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355920543 (or 355920535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221010001121120 its reverse (21121100010122), we get a palindrome (242131101131242).

The spelling of 221010001121120 in words is "two hundred twenty-one trillion, ten billion, one million, one hundred twenty-one thousand, one hundred twenty".