10020010131120 has 320 divisors, whose sum is σ = 34327402905600. Its totient is φ = 2397463710720.

The previous prime is 10020010131071. The next prime is 10020010131127. The reversal of 10020010131120 is 2113101002001.

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 = 10020010131096 and 10020010131105.

It is not an unprimeable number, because it can be changed into a prime (10020010131127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700545889 + ... + 700560191.

It is an arithmetic number, because the mean of its divisors is an integer number (107273134080).

Almost surely, 2^{10020010131120} is an apocalyptic number.

10020010131120 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 10020010131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163701452800).

10020010131120 is an abundant number, since it is smaller than the sum of its proper divisors (24307392774480).

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

10020010131120 is a wasteful number, since it uses less digits than its factorization.

10020010131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17768 (or 17762 counting only the distinct ones).

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

Adding to 10020010131120 its reverse (2113101002001), we get a palindrome (12133111133121).

The spelling of 10020010131120 in words is "ten trillion, twenty billion, ten million, one hundred thirty-one thousand, one hundred twenty".