1101545225200 has 180 divisors, whose sum is σ = 3079364428152. Its totient is φ = 377571264000.

The previous prime is 1101545225189. The next prime is 1101545225213. The reversal of 1101545225200 is 25225451011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131335407 + ... + 131343793.

Almost surely, 2^{1101545225200} is an apocalyptic number.

1101545225200 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 1101545225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539682214076).

1101545225200 is an abundant number, since it is smaller than the sum of its proper divisors (1977819202952).

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

1101545225200 is a wasteful number, since it uses less digits than its factorization.

1101545225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15120 (or 15102 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 1101545225200 in words is "one trillion, one hundred one billion, five hundred forty-five million, two hundred twenty-five thousand, two hundred".