10020121221120 has 384 divisors, whose sum is σ = 34158711787200. Its totient is φ = 2498815328256.

The previous prime is 10020121221119. The next prime is 10020121221139. The reversal of 10020121221120 is 2112212102001.

It is a tau number, because it is divible by the number of its divisors (384).

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 10020121221120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81930576 + ... + 82052784.

Almost surely, 2^{10020121221120} is an apocalyptic number.

10020121221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079355893600).

10020121221120 is an abundant number, since it is smaller than the sum of its proper divisors (24138590566080).

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

10020121221120 is a wasteful number, since it uses less digits than its factorization.

10020121221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122413 (or 122393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10020121221120 its reverse (2112212102001), we get a palindrome (12132333323121).

The spelling of 10020121221120 in words is "ten trillion, twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".