1100020121200 has 720 divisors, whose sum is σ = 3587132480256. Its totient is φ = 314783539200.

The previous prime is 1100020121183. The next prime is 1100020121219. The reversal of 1100020121200 is 21210200011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1212811147 + ... + 1212812053.

Almost surely, 2^{1100020121200} is an apocalyptic number.

1100020121200 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 1100020121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793566240128).

1100020121200 is an abundant number, since it is smaller than the sum of its proper divisors (2487112359056).

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

1100020121200 is a wasteful number, since it uses less digits than its factorization.

1100020121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100020121200 its reverse (21210200011), we get a palindrome (1121230321211).

The spelling of 1100020121200 in words is "one trillion, one hundred billion, twenty million, one hundred twenty-one thousand, two hundred".