1121331322100 has 72 divisors (see below), whose sum is σ = 2656500889728. Its totient is φ = 407449036800.

The previous prime is 1121331322049. The next prime is 1121331322147. The reversal of 1121331322100 is 12231331211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075604 + ... + 1843796.

Almost surely, 2^{1121331322100} is an apocalyptic number.

1121331322100 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 1121331322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328250444864).

1121331322100 is an abundant number, since it is smaller than the sum of its proper divisors (1535169567628).

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

1121331322100 is a wasteful number, since it uses less digits than its factorization.

1121331322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769545 (or 769538 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1121331322100 its reverse (12231331211), we get a palindrome (1133562653311).

It can be divided in two parts, 11213 and 31322100, that added together give a palindrome (31333313).

The spelling of 1121331322100 in words is "one trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred".