1002201101120 has 28 divisors (see below), whose sum is σ = 2386491372804. Its totient is φ = 400880440320.

The previous prime is 1002201101047. The next prime is 1002201101123. The reversal of 1002201101120 is 211011022001.

It can be written as a sum of positive squares in 2 ways, for example, as 455441418496 + 546759682624 = 674864^2 + 739432^2 .

It is a super-2 number, since 2×1002201101120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002201101123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1565938901 + ... + 1565939540.

It is an arithmetic number, because the mean of its divisors is an integer number (85231834743).

Almost surely, 2^{1002201101120} is an apocalyptic number.

1002201101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002201101120 is an abundant number, since it is smaller than the sum of its proper divisors (1384290271684).

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

1002201101120 is an equidigital number, since it uses as much as digits as its factorization.

1002201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131878458 (or 3131878448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002201101120 its reverse (211011022001), we get a palindrome (1213212123121).

The spelling of 1002201101120 in words is "one trillion, two billion, two hundred one million, one hundred one thousand, one hundred twenty".