1100121154400 has 144 divisors (see below), whose sum is σ = 2750541547824. Its totient is φ = 429543751680.

The previous prime is 1100121154373. The next prime is 1100121154459. The reversal of 1100121154400 is 44511210011.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5567699 + ... + 5761901.

It is an arithmetic number, because the mean of its divisors is an integer number (19100982971).

Almost surely, 2^{1100121154400} is an apocalyptic number.

1100121154400 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 1100121154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375270773912).

1100121154400 is an abundant number, since it is smaller than the sum of its proper divisors (1650420393424).

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

1100121154400 is a wasteful number, since it uses less digits than its factorization.

1100121154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194393 (or 194380 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 1100121154400 its reverse (44511210011), we get a palindrome (1144632364411).

It can be divided in two parts, 1100121 and 154400, that added together give a palindrome (1254521).

The spelling of 1100121154400 in words is "one trillion, one hundred billion, one hundred twenty-one million, one hundred fifty-four thousand, four hundred".