20111002211120 has 160 divisors (see below), whose sum is σ = 47950326726720. Its totient is φ = 7840124006400.

The previous prime is 20111002211107. The next prime is 20111002211129. The reversal of 20111002211120 is 2111220011102.

It is a junction number, because it is equal to n+sod(n) for n = 20111002211095 and 20111002211104.

It is not an unprimeable number, because it can be changed into a prime (20111002211129) 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, 3527624270 + ... + 3527629970.

It is an arithmetic number, because the mean of its divisors is an integer number (299689542042).

Almost surely, 2^{20111002211120} is an apocalyptic number.

20111002211120 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 20111002211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975163363360).

20111002211120 is an abundant number, since it is smaller than the sum of its proper divisors (27839324515600).

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

20111002211120 is a wasteful number, since it uses less digits than its factorization.

20111002211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20111002211120 its reverse (2111220011102), we get a palindrome (22222222222222).

The spelling of 20111002211120 in words is "twenty trillion, one hundred eleven billion, two million, two hundred eleven thousand, one hundred twenty".