10021131120 has 960 divisors, whose sum is σ = 43602209280. Its totient is φ = 1870848000.

The previous prime is 10021131067. The next prime is 10021131121. The reversal of 10021131120 is 2113112001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10021131096 and 10021131105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021131121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99219070 + ... + 99219170.

It is an arithmetic number, because the mean of its divisors is an integer number (45418968).

Almost surely, 2^10021131120 is an apocalyptic number.

10021131120 is a gapful number since it is divisible by the number (10) 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 10021131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21801104640).

10021131120 is an abundant number, since it is smaller than the sum of its proper divisors (33581078160).

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

10021131120 is a wasteful number, since it uses less digits than its factorization.

10021131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10021131120 its reverse (2113112001), we get a palindrome (12134243121).

It can be divided in two parts, 10021 and 131120, that added together give a palindrome (141141).

The spelling of 10021131120 in words is "ten billion, twenty-one million, one hundred thirty-one thousand, one hundred twenty".