1322113022100 has 432 divisors, whose sum is σ = 4797743758080. Its totient is φ = 301752345600.

The previous prime is 1322113022077. The next prime is 1322113022129. The reversal of 1322113022100 is 12203112231.

1322113022100 is a `hidden beast` number, since 1 + 322 + 1 + 130 + 2 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 10384830 + ... + 10511370.

Almost surely, 2^{1322113022100} is an apocalyptic number.

1322113022100 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 1322113022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398871879040).

1322113022100 is an abundant number, since it is smaller than the sum of its proper divisors (3475630735980).

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

1322113022100 is a wasteful number, since it uses less digits than its factorization.

1322113022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126640 (or 126630 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1322113022100 its reverse (12203112231), we get a palindrome (1334316134331).

The spelling of 1322113022100 in words is "one trillion, three hundred twenty-two billion, one hundred thirteen million, twenty-two thousand, one hundred".