1101101123200 has 192 divisors, whose sum is σ = 2931329570400. Its totient is φ = 406278696960.

The previous prime is 1101101123147. The next prime is 1101101123251. The reversal of 1101101123200 is 23211011011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65678019 + ... + 65694781.

Almost surely, 2^{1101101123200} is an apocalyptic number.

1101101123200 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 1101101123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465664785200).

1101101123200 is an abundant number, since it is smaller than the sum of its proper divisors (1830228447200).

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

1101101123200 is a wasteful number, since it uses less digits than its factorization.

1101101123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18379 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1101101123200 its reverse (23211011011), we get a palindrome (1124312134211).

The spelling of 1101101123200 in words is "one trillion, one hundred one billion, one hundred one million, one hundred twenty-three thousand, two hundred".