20002100110120 has 128 divisors (see below), whose sum is σ = 46455029280000. Its totient is φ = 7746562897920.

The previous prime is 20002100110063. The next prime is 20002100110129. The reversal of 20002100110120 is 2101100120002.

It is a super-2 number, since 2×20002100110120² (a number of 27 digits) contains 22 as substring.

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 = 20002100110097 and 20002100110106.

It is not an unprimeable number, because it can be changed into a prime (20002100110129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91964700 + ... + 92181940.

It is an arithmetic number, because the mean of its divisors is an integer number (362929916250).

Almost surely, 2^{20002100110120} is an apocalyptic number.

20002100110120 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 20002100110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227514640000).

20002100110120 is an abundant number, since it is smaller than the sum of its proper divisors (26452929169880).

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

20002100110120 is a wasteful number, since it uses less digits than its factorization.

20002100110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217763 (or 217759 counting only the distinct ones).

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

Adding to 20002100110120 its reverse (2101100120002), we get a palindrome (22103200230122).

The spelling of 20002100110120 in words is "twenty trillion, two billion, one hundred million, one hundred ten thousand, one hundred twenty".