1012113110000 has 200 divisors, whose sum is σ = 2542466450304. Its totient is φ = 389773440000.

The previous prime is 1012113109979. The next prime is 1012113110003. The reversal of 1012113110000 is 113112101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012113110003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61061714 + ... + 61078286.

Almost surely, 2^{1012113110000} is an apocalyptic number.

1012113110000 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 1012113110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271233225152).

1012113110000 is an abundant number, since it is smaller than the sum of its proper divisors (1530353340304).

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

1012113110000 is a wasteful number, since it uses less digits than its factorization.

1012113110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16829 (or 16808 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1012113110000 its reverse (113112101), we get a palindrome (1012226222101).

The spelling of 1012113110000 in words is "one trillion, twelve billion, one hundred thirteen million, one hundred ten thousand".