1002220131100 has 72 divisors (see below), whose sum is σ = 2216685498048. Its totient is φ = 393243648000.

The previous prime is 1002220131037. The next prime is 1002220131149. The reversal of 1002220131100 is 11310222001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638925 + ... + 1553275.

It is an arithmetic number, because the mean of its divisors is an integer number (30787298584).

Almost surely, 2^{1002220131100} is an apocalyptic number.

1002220131100 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 1002220131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108342749024).

1002220131100 is an abundant number, since it is smaller than the sum of its proper divisors (1214465366948).

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

1002220131100 is a wasteful number, since it uses less digits than its factorization.

1002220131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914575 (or 914568 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1002220131100 its reverse (11310222001), we get a palindrome (1013530353101).

Subtracting from 1002220131100 its reverse (11310222001), we obtain a palindrome (990909909099).

The spelling of 1002220131100 in words is "one trillion, two billion, two hundred twenty million, one hundred thirty-one thousand, one hundred".