1010001112000 has 112 divisors (see below), whose sum is σ = 2509316596800. Its totient is φ = 402700416000.

The previous prime is 1010001111949. The next prime is 1010001112007. The reversal of 1010001112000 is 2111000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285026 + ... + 2690974.

Almost surely, 2^{1010001112000} is an apocalyptic number.

1010001112000 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 1010001112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254658298400).

1010001112000 is an abundant number, since it is smaller than the sum of its proper divisors (1499315484800).

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

1010001112000 is an equidigital number, since it uses as much as digits as its factorization.

1010001112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406287 (or 406267 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010001112000 its reverse (2111000101), we get a palindrome (1012112112101).

The spelling of 1010001112000 in words is "one trillion, ten billion, one million, one hundred twelve thousand".