1001112200010 has 1024 divisors, whose sum is σ = 3233793024000. Its totient is φ = 218215710720.

The previous prime is 1001112199979. The next prime is 1001112200051. The reversal of 1001112200010 is 100022111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001112199965 and 1001112200001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10320744282 + ... + 10320744378.

It is an arithmetic number, because the mean of its divisors is an integer number (3158001000).

Almost surely, 2^{1001112200010} is an apocalyptic number.

1001112200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001112200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616896512000).

1001112200010 is an abundant number, since it is smaller than the sum of its proper divisors (2232680823990).

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

1001112200010 is a wasteful number, since it uses less digits than its factorization.

1001112200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001112200010 its reverse (100022111001), we get a palindrome (1101134311011).

The spelling of 1001112200010 in words is "one trillion, one billion, one hundred twelve million, two hundred thousand, ten".