101102011008 has 128 divisors (see below), whose sum is σ = 276231047040. Its totient is φ = 32739840000.

The previous prime is 101102011001. The next prime is 101102011189. The reversal of 101102011008 is 800110201101.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (101102011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9954733 + ... + 9964883.

It is an arithmetic number, because the mean of its divisors is an integer number (2158055055).

Almost surely, 2^101102011008 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 101102011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138115523520).

101102011008 is an abundant number, since it is smaller than the sum of its proper divisors (175129036032).

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

101102011008 is a wasteful number, since it uses less digits than its factorization.

101102011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10894 counting only the distinct ones).

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

Adding to 101102011008 its reverse (800110201101), we get a palindrome (901212212109).

The spelling of 101102011008 in words is "one hundred one billion, one hundred two million, eleven thousand, eight".