10111001001160 has 32 divisors (see below), whose sum is σ = 22750359198840. Its totient is φ = 4044292498944.

The previous prime is 10111001001139. The next prime is 10111001001161. The reversal of 10111001001160 is 6110010011101.

10111001001160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2905545248356 + 7205455752804 = 1704566^2 + 2684298^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10111001001160.

It is not an unprimeable number, because it can be changed into a prime (10111001001161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1845357 + ... + 4860796.

Almost surely, 2^{10111001001160} is an apocalyptic number.

10111001001160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111001001160 is an abundant number, since it is smaller than the sum of its proper divisors (12639358197680).

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

10111001001160 is a wasteful number, since it uses less digits than its factorization.

10111001001160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743857 (or 6743853 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10111001001160 its reverse (6110010011101), we get a palindrome (16221011012261).

The spelling of 10111001001160 in words is "ten trillion, one hundred eleven billion, one million, one thousand, one hundred sixty".