11010101321128 has 96 divisors (see below), whose sum is σ = 25896370953600. Its totient is φ = 4273461713664.

The previous prime is 11010101321117. The next prime is 11010101321129. The reversal of 11010101321128 is 82112310101011.

11010101321128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11010101321128² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11010101321099 and 11010101321108.

It is not an unprimeable number, because it can be changed into a prime (11010101321129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647068 + ... + 4736971.

It is an arithmetic number, because the mean of its divisors is an integer number (269753864100).

Almost surely, 2^{11010101321128} is an apocalyptic number.

It is an amenable number.

11010101321128 is an abundant number, since it is smaller than the sum of its proper divisors (14886269632472).

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

11010101321128 is a wasteful number, since it uses less digits than its factorization.

11010101321128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384171 (or 5384114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 11010101321128 its reverse (82112310101011), we get a palindrome (93122411422139).

The spelling of 11010101321128 in words is "eleven trillion, ten billion, one hundred one million, three hundred twenty-one thousand, one hundred twenty-eight".