20011102100000 has 576 divisors, whose sum is σ = 56709364118400. Its totient is φ = 6873984000000.

The previous prime is 20011102099987. The next prime is 20011102100027. The reversal of 20011102100000 is 120111002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8548098830 + ... + 8548101170.

It is an arithmetic number, because the mean of its divisors is an integer number (98453757150).

Almost surely, 2^{20011102100000} is an apocalyptic number.

20011102100000 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 20011102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28354682059200).

20011102100000 is an abundant number, since it is smaller than the sum of its proper divisors (36698262018400).

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

20011102100000 is a wasteful number, since it uses less digits than its factorization.

20011102100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2787 counting only the distinct ones).

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

Adding to 20011102100000 its reverse (120111002), we get a palindrome (20011222211002).

It can be divided in two parts, 20011102 and 100000, that added together give a palindrome (20111102).

The spelling of 20011102100000 in words is "twenty trillion, eleven billion, one hundred two million, one hundred thousand".