1001132010120 has 128 divisors (see below), whose sum is σ = 3308872394880. Its totient is φ = 240295680000.

The previous prime is 1001132010103. The next prime is 1001132010121. The reversal of 1001132010120 is 210102311001.

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 = 1001132010096 and 1001132010105.

It is not an unprimeable number, because it can be changed into a prime (1001132010121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3621301 + ... + 3887940.

It is an arithmetic number, because the mean of its divisors is an integer number (25850565585).

Almost surely, 2^{1001132010120} is an apocalyptic number.

1001132010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001132010120 is an abundant number, since it is smaller than the sum of its proper divisors (2307740384760).

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

1001132010120 is a wasteful number, since it uses less digits than its factorization.

1001132010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7509367 (or 7509363 counting only the distinct ones).

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

Adding to 1001132010120 its reverse (210102311001), we get a palindrome (1211234321121).

The spelling of 1001132010120 in words is "one trillion, one billion, one hundred thirty-two million, ten thousand, one hundred twenty".