1001200021120 has 96 divisors (see below), whose sum is σ = 2591771673420. Its totient is φ = 369673814016.

The previous prime is 1001200021043. The next prime is 1001200021127. The reversal of 1001200021120 is 211200021001.

It can be written as a sum of positive squares in 6 ways, for example, as 347184922176 + 654015098944 = 589224^2 + 808712^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001200021097 and 1001200021106.

It is not an unprimeable number, because it can be changed into a prime (1001200021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4520169 + ... + 4736488.

Almost surely, 2^{1001200021120} is an apocalyptic number.

1001200021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001200021120 is an abundant number, since it is smaller than the sum of its proper divisors (1590571652300).

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

1001200021120 is an equidigital number, since it uses as much as digits as its factorization.

1001200021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256702 (or 9256677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001200021120 its reverse (211200021001), we get a palindrome (1212400042121).

The spelling of 1001200021120 in words is "one trillion, one billion, two hundred million, twenty-one thousand, one hundred twenty".