1011002112000 has 576 divisors, whose sum is σ = 3694643578080. Its totient is φ = 265863168000.

The previous prime is 1011002111953. The next prime is 1011002112011. The reversal of 1011002112000 is 2112001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 168188995 + ... + 168195005.

Almost surely, 2^{1011002112000} is an apocalyptic number.

1011002112000 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 1011002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847321789040).

1011002112000 is an abundant number, since it is smaller than the sum of its proper divisors (2683641466080).

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

1011002112000 is an equidigital number, since it uses as much as digits as its factorization.

1011002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6094 counting only the distinct ones).

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

Adding to 1011002112000 its reverse (2112001101), we get a palindrome (1013114113101).

The spelling of 1011002112000 in words is "one trillion, eleven billion, two million, one hundred twelve thousand".