1121122113100 has 144 divisors (see below), whose sum is σ = 2770292689920. Its totient is φ = 389828876800.

The previous prime is 1121122113091. The next prime is 1121122113121. The reversal of 1121122113100 is 13112211211.

It is a happy number.

It is a super-2 number, since 2×1121122113100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112908936 + ... + 112918864.

It is an arithmetic number, because the mean of its divisors is an integer number (19238143680).

Almost surely, 2^{1121122113100} is an apocalyptic number.

1121122113100 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 1121122113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385146344960).

1121122113100 is an abundant number, since it is smaller than the sum of its proper divisors (1649170576820).

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

1121122113100 is a wasteful number, since it uses less digits than its factorization.

1121122113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14440 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1121122113100 its reverse (13112211211), we get a palindrome (1134234324311).

The spelling of 1121122113100 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred".