10000110001128 has 128 divisors (see below), whose sum is σ = 27440784564480. Its totient is φ = 3017864079360.

The previous prime is 10000110001127. The next prime is 10000110001151. The reversal of 10000110001128 is 82110001100001.

It is a super-2 number, since 2×10000110001128² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000110001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48728413 + ... + 48933203.

It is an arithmetic number, because the mean of its divisors is an integer number (214381129410).

Almost surely, 2^{10000110001128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000110001128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720392282240).

10000110001128 is an abundant number, since it is smaller than the sum of its proper divisors (17440674563352).

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

10000110001128 is a wasteful number, since it uses less digits than its factorization.

10000110001128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207819 (or 207815 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10000110001128 its reverse (82110001100001), we get a palindrome (92110111101129).

The spelling of 10000110001128 in words is "ten trillion, one hundred ten million, one thousand, one hundred twenty-eight".