1001111212200 has 384 divisors, whose sum is σ = 3599094643200. Its totient is φ = 227640960000.

The previous prime is 1001111212183. The next prime is 1001111212217. The reversal of 1001111212200 is 22121111001.

It is an interprime number because it is at equal distance from previous prime (1001111212183) and next prime (1001111212217).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 12625879 + ... + 12704921.

It is an arithmetic number, because the mean of its divisors is an integer number (9372642300).

Almost surely, 2^{1001111212200} is an apocalyptic number.

1001111212200 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 1001111212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799547321600).

1001111212200 is an abundant number, since it is smaller than the sum of its proper divisors (2597983431000).

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

1001111212200 is a wasteful number, since it uses less digits than its factorization.

1001111212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79193 (or 79184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001111212200 its reverse (22121111001), we get a palindrome (1023232323201).

It can be divided in two parts, 10011 and 11212200, that added together give a palindrome (11222211).

The spelling of 1001111212200 in words is "one trillion, one billion, one hundred eleven million, two hundred twelve thousand, two hundred".