1100310121400 has 144 divisors (see below), whose sum is σ = 2985405729840. Its totient is φ = 376042867200.

The previous prime is 1100310121357. The next prime is 1100310121411. The reversal of 1100310121400 is 41210130011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2888045 + ... + 3246755.

It is an arithmetic number, because the mean of its divisors is an integer number (20731984235).

Almost surely, 2^{1100310121400} is an apocalyptic number.

1100310121400 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 1100310121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492702864920).

1100310121400 is an abundant number, since it is smaller than the sum of its proper divisors (1885095608440).

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

1100310121400 is a wasteful number, since it uses less digits than its factorization.

1100310121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359054 (or 359038 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1100310121400 its reverse (41210130011), we get a palindrome (1141520251411).

The spelling of 1100310121400 in words is "one trillion, one hundred billion, three hundred ten million, one hundred twenty-one thousand, four hundred".