20100020021120 has 256 divisors, whose sum is σ = 51970164986880. Its totient is φ = 7389738639360.

The previous prime is 20100020021099. The next prime is 20100020021161. The reversal of 20100020021120 is 2112002000102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891405247 + ... + 1891415873.

It is an arithmetic number, because the mean of its divisors is an integer number (203008456980).

Almost surely, 2^{20100020021120} is an apocalyptic number.

20100020021120 is a gapful number since it is divisible by the number (20) 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 20100020021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25985082493440).

20100020021120 is an abundant number, since it is smaller than the sum of its proper divisors (31870144965760).

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

20100020021120 is a wasteful number, since it uses less digits than its factorization.

20100020021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20100020021120 its reverse (2112002000102), we get a palindrome (22212022021222).

The spelling of 20100020021120 in words is "twenty trillion, one hundred billion, twenty million, twenty-one thousand, one hundred twenty".