1011100211200 has 144 divisors (see below), whose sum is σ = 2565222299640. Its totient is φ = 395033640960.

The previous prime is 1011100211189. The next prime is 1011100211203. The reversal of 1011100211200 is 21120011101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971972 + ... + 2431228.

Almost surely, 2^{1011100211200} is an apocalyptic number.

1011100211200 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 1011100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282611149820).

1011100211200 is an abundant number, since it is smaller than the sum of its proper divisors (1554122088440).

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

1011100211200 is an equidigital number, since it uses as much as digits as its factorization.

1011100211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459332 (or 459307 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011100211200 its reverse (21120011101), we get a palindrome (1032220222301).

The spelling of 1011100211200 in words is "one trillion, eleven billion, one hundred million, two hundred eleven thousand, two hundred".