10020321201120 has 384 divisors, whose sum is σ = 32943700823040. Its totient is φ = 2557021716480.

The previous prime is 10020321201083. The next prime is 10020321201139. The reversal of 10020321201120 is 2110212302001.

It is a super-2 number, since 2×10020321201120² (a number of 27 digits) contains 22 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 10020321201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820591815 + ... + 820604025.

It is an arithmetic number, because the mean of its divisors is an integer number (85790887560).

Almost surely, 2^{10020321201120} is an apocalyptic number.

10020321201120 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 10020321201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16471850411520).

10020321201120 is an abundant number, since it is smaller than the sum of its proper divisors (22923379621920).

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

10020321201120 is a wasteful number, since it uses less digits than its factorization.

10020321201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12778 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10020321201120 its reverse (2110212302001), we get a palindrome (12130533503121).

The spelling of 10020321201120 in words is "ten trillion, twenty billion, three hundred twenty-one million, two hundred one thousand, one hundred twenty".