11010101112 has 72 divisors (see below), whose sum is σ = 30794793120. Its totient is φ = 3550046400.

The previous prime is 11010101101. The next prime is 11010101131. The reversal of 11010101112 is 21110101011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11010101094 and 11010101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4956162 + ... + 4958382.

It is an arithmetic number, because the mean of its divisors is an integer number (427705460).

Almost surely, 2^11010101112 is an apocalyptic number.

11010101112 is a gapful number since it is divisible by the number (12) 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 11010101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397396560).

11010101112 is an abundant number, since it is smaller than the sum of its proper divisors (19784692008).

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

11010101112 is an equidigital number, since it uses as much as digits as its factorization.

11010101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11010101112 its reverse (21110101011), we get a palindrome (32120202123).

The spelling of 11010101112 in words is "eleven billion, ten million, one hundred one thousand, one hundred twelve".