1101530025200 has 240 divisors, whose sum is σ = 2929793258016. Its totient is φ = 394632806400.

The previous prime is 1101530025163. The next prime is 1101530025227. The reversal of 1101530025200 is 25200351011.

It is a happy number.

It is a super-2 number, since 2×1101530025200² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 479550452 + ... + 479552748.

Almost surely, 2^{1101530025200} is an apocalyptic number.

1101530025200 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 1101530025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464896629008).

1101530025200 is an abundant number, since it is smaller than the sum of its proper divisors (1828263232816).

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

1101530025200 is a wasteful number, since it uses less digits than its factorization.

1101530025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 1101530025200 its reverse (25200351011), we get a palindrome (1126730376211).

The spelling of 1101530025200 in words is "one trillion, one hundred one billion, five hundred thirty million, twenty-five thousand, two hundred".