20101000021120 has 128 divisors (see below), whose sum is σ = 49608781102080. Its totient is φ = 7780294963200.

The previous prime is 20101000021097. The next prime is 20101000021139. The reversal of 20101000021120 is 2112000010102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20101000021097 and 20101000021106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239446674 + ... + 239530606.

It is an arithmetic number, because the mean of its divisors is an integer number (387568602360).

Almost surely, 2^{20101000021120} is an apocalyptic number.

20101000021120 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 20101000021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24804390551040).

20101000021120 is an abundant number, since it is smaller than the sum of its proper divisors (29507781080960).

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

20101000021120 is a wasteful number, since it uses less digits than its factorization.

20101000021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96054 (or 96042 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101000021120 its reverse (2112000010102), we get a palindrome (22213000031222).

The spelling of 20101000021120 in words is "twenty trillion, one hundred one billion, twenty-one thousand, one hundred twenty".