10001112000000 has 1120 divisors, whose sum is σ = 37218821092992. Its totient is φ = 2365440000000.

The previous prime is 10001111999969. The next prime is 10001112000017. The reversal of 10001112000000 is 21110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11351999560 + ... + 11352000440.

Almost surely, 2^{10001112000000} is an apocalyptic number.

10001112000000 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 10001112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609410546496).

10001112000000 is an abundant number, since it is smaller than the sum of its proper divisors (27217709092992).

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

10001112000000 is an frugal number, since it uses more digits than its factorization.

10001112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001112000000 its reverse (21110001), we get a palindrome (10001133110001).

The spelling of 10001112000000 in words is "ten trillion, one billion, one hundred twelve million", and thus it is an aban number.