1100213301200 has 120 divisors (see below), whose sum is σ = 2863638048768. Its totient is φ = 403799754240.

The previous prime is 1100213301179. The next prime is 1100213301223. The reversal of 1100213301200 is 21033120011.

It is a congruent number.

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, 234929 + ... + 1501871.

Almost surely, 2^{1100213301200} is an apocalyptic number.

1100213301200 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 1100213301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431819024384).

1100213301200 is an abundant number, since it is smaller than the sum of its proper divisors (1763424747568).

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

1100213301200 is a wasteful number, since it uses less digits than its factorization.

1100213301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267141 (or 1267130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1100213301200 its reverse (21033120011), we get a palindrome (1121246421211).

The spelling of 1100213301200 in words is "one trillion, one hundred billion, two hundred thirteen million, three hundred one thousand, two hundred".