20011022102120 has 256 divisors, whose sum is σ = 53283111552000. Its totient is φ = 6622863851520.

The previous prime is 20011022102059. The next prime is 20011022102231. The reversal of 20011022102120 is 2120122011002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20011022102095 and 20011022102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198769556 + ... + 198870204.

It is an arithmetic number, because the mean of its divisors is an integer number (208137154500).

Almost surely, 2^{20011022102120} is an apocalyptic number.

20011022102120 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 20011022102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26641555776000).

20011022102120 is an abundant number, since it is smaller than the sum of its proper divisors (33272089449880).

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

20011022102120 is a wasteful number, since it uses less digits than its factorization.

20011022102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100948 (or 100944 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20011022102120 its reverse (2120122011002), we get a palindrome (22131144113122).

The spelling of 20011022102120 in words is "twenty trillion, eleven billion, twenty-two million, one hundred two thousand, one hundred twenty".