1011002211200 has 96 divisors (see below), whose sum is σ = 2498216770560. Its totient is φ = 404283432960.

The previous prime is 1011002211187. The next prime is 1011002211221. The reversal of 1011002211200 is 21122001101.

It is a super-3 number, since 3×1011002211200³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11421512 + ... + 11509688.

It is an arithmetic number, because the mean of its divisors is an integer number (26023091360).

Almost surely, 2^{1011002211200} is an apocalyptic number.

1011002211200 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 1011002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249108385280).

1011002211200 is an abundant number, since it is smaller than the sum of its proper divisors (1487214559360).

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

1011002211200 is an equidigital number, since it uses as much as digits as its factorization.

1011002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91784 (or 91767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011002211200 its reverse (21122001101), we get a palindrome (1032124212301).

The spelling of 1011002211200 in words is "one trillion, eleven billion, two million, two hundred eleven thousand, two hundred".