1011171070000 has 800 divisors, whose sum is σ = 3197990315520. Its totient is φ = 300672000000.

The previous prime is 1011171069977. The next prime is 1011171070001. The reversal of 1011171070000 is 701711101.

It is a happy number.

1011171070000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1011171070000.

It is not an unprimeable number, because it can be changed into a prime (1011171070001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4028569875 + ... + 4028570125.

Almost surely, 2^{1011171070000} is an apocalyptic number.

1011171070000 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 1011171070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598995157760).

1011171070000 is an abundant number, since it is smaller than the sum of its proper divisors (2186819245520).

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

1011171070000 is a wasteful number, since it uses less digits than its factorization.

1011171070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 1011171070000 its reverse (701711101), we get a palindrome (1011872781101).

The spelling of 1011171070000 in words is "one trillion, eleven billion, one hundred seventy-one million, seventy thousand".