20011011020000 has 960 divisors, whose sum is σ = 67451408640000. Its totient is φ = 5757131520000.

The previous prime is 20011011019849. The next prime is 20011011020041. The reversal of 20011011020000 is 2011011002.

It is a super-2 number, since 2×20011011020000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20011011020000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 980969801 + ... + 980990199.

It is an arithmetic number, because the mean of its divisors is an integer number (70261884000).

Almost surely, 2^{20011011020000} is an apocalyptic number.

20011011020000 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 20011011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33725704320000).

20011011020000 is an abundant number, since it is smaller than the sum of its proper divisors (47440397620000).

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

20011011020000 is a wasteful number, since it uses less digits than its factorization.

20011011020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20474 (or 20437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20011011020000 its reverse (2011011002), we get a palindrome (20013022031002).

The spelling of 20011011020000 in words is "twenty trillion, eleven billion, eleven million, twenty thousand".