1100211013200 has 480 divisors, whose sum is σ = 4133004220800. Its totient is φ = 247718338560.

The previous prime is 1100211013199. The next prime is 1100211013277. The reversal of 1100211013200 is 23101120011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8531602 + ... + 8659598.

It is an arithmetic number, because the mean of its divisors is an integer number (8610425460).

Almost surely, 2^{1100211013200} is an apocalyptic number.

1100211013200 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 1100211013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066502110400).

1100211013200 is an abundant number, since it is smaller than the sum of its proper divisors (3032793207600).

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

1100211013200 is a wasteful number, since it uses less digits than its factorization.

1100211013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128079 (or 128068 counting only the distinct ones).

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

Adding to 1100211013200 its reverse (23101120011), we get a palindrome (1123312133211).

The spelling of 1100211013200 in words is "one trillion, one hundred billion, two hundred eleven million, thirteen thousand, two hundred".