20101211120 has 80 divisors (see below), whose sum is σ = 49222162080. Its totient is φ = 7613107200.

The previous prime is 20101211107. The next prime is 20101211167. The reversal of 20101211120 is 2111210102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5258810 + ... + 5262630.

It is an arithmetic number, because the mean of its divisors is an integer number (615277026).

Almost surely, 2^20101211120 is an apocalyptic number.

20101211120 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 20101211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24611081040).

20101211120 is an abundant number, since it is smaller than the sum of its proper divisors (29120950960).

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

20101211120 is a wasteful number, since it uses less digits than its factorization.

20101211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20101211120 its reverse (2111210102), we get a palindrome (22212421222).

The spelling of 20101211120 in words is "twenty billion, one hundred one million, two hundred eleven thousand, one hundred twenty".