1011241112200 has 96 divisors (see below), whose sum is σ = 2570101708320. Its totient is φ = 366974720000.

The previous prime is 1011241112197. The next prime is 1011241112207. The reversal of 1011241112200 is 22111421101.

1011241112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1011241112207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612120 + ... + 1548280.

It is an arithmetic number, because the mean of its divisors is an integer number (26771892795).

Almost surely, 2^{1011241112200} is an apocalyptic number.

1011241112200 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 1011241112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285050854160).

1011241112200 is an abundant number, since it is smaller than the sum of its proper divisors (1558860596120).

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

1011241112200 is a wasteful number, since it uses less digits than its factorization.

1011241112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936679 (or 936670 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1011241112200 its reverse (22111421101), we get a palindrome (1033352533301).

The spelling of 1011241112200 in words is "one trillion, eleven billion, two hundred forty-one million, one hundred twelve thousand, two hundred".