1101000111200 has 144 divisors (see below), whose sum is σ = 2961197190000. Its totient is φ = 396399360000.

The previous prime is 1101000111161. The next prime is 1101000111229. The reversal of 1101000111200 is 21110001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 269426 + ... + 1508174.

It is an arithmetic number, because the mean of its divisors is an integer number (20563869375).

Almost surely, 2^{1101000111200} is an apocalyptic number.

1101000111200 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 1101000111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480598595000).

1101000111200 is an abundant number, since it is smaller than the sum of its proper divisors (1860197078800).

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

1101000111200 is a wasteful number, since it uses less digits than its factorization.

1101000111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238881 (or 1238868 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1101000111200 its reverse (21110001011), we get a palindrome (1122110112211).

The spelling of 1101000111200 in words is "one trillion, one hundred one billion, one hundred eleven thousand, two hundred".