1121144033100 has 288 divisors, whose sum is σ = 3995659261440. Its totient is φ = 236357314560.

The previous prime is 1121144033029. The next prime is 1121144033111. The reversal of 1121144033100 is 13304411211.

It is a super-2 number, since 2×1121144033100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35009896 + ... + 35041904.

It is an arithmetic number, because the mean of its divisors is an integer number (13873816880).

Almost surely, 2^{1121144033100} is an apocalyptic number.

1121144033100 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 1121144033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997829630720).

1121144033100 is an abundant number, since it is smaller than the sum of its proper divisors (2874515228340).

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

1121144033100 is a wasteful number, since it uses less digits than its factorization.

1121144033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33329 (or 33322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1121144033100 its reverse (13304411211), we get a palindrome (1134448444311).

The spelling of 1121144033100 in words is "one trillion, one hundred twenty-one billion, one hundred forty-four million, thirty-three thousand, one hundred".