20102111331120 has 480 divisors, whose sum is σ = 85115292522624. Its totient is φ = 4137877094400.

The previous prime is 20102111331073. The next prime is 20102111331151. The reversal of 20102111331120 is 2113311120102.

20102111331120 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 211 + 1 + 331 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20102111331093 and 20102111331102.

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, 1055251 + ... + 6427890.

Almost surely, 2^{20102111331120} is an apocalyptic number.

20102111331120 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 20102111331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42557646261312).

20102111331120 is an abundant number, since it is smaller than the sum of its proper divisors (65013181191504).

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

20102111331120 is a wasteful number, since it uses less digits than its factorization.

20102111331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483221 (or 7483212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20102111331120 its reverse (2113311120102), we get a palindrome (22215422451222).

The spelling of 20102111331120 in words is "twenty trillion, one hundred two billion, one hundred eleven million, three hundred thirty-one thousand, one hundred twenty".