20101120 has 96 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 7372800.

The previous prime is 20101099. The next prime is 20101129. The reversal of 20101120 is 2110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133045 + ... + 133195.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^20101120 is an apocalyptic number.

20101120 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 20101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

20101120 is an abundant number, since it is smaller than the sum of its proper divisors (32183840).

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

20101120 is a wasteful number, since it uses less digits than its factorization.

20101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 20101120 is about 4483.4272604783. The cubic root of 20101120 is about 271.8984626776.

Adding to 20101120 its reverse (2110102), we get a palindrome (22211222).

The spelling of 20101120 in words is "twenty million, one hundred one thousand, one hundred twenty".