101011106016 has 72 divisors (see below), whose sum is σ = 291537706824. Its totient is φ = 33167819520.

The previous prime is 101011105961. The next prime is 101011106047. The reversal of 101011106016 is 610601110101.

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 (18).

It is a self number, because there is not a number n which added to its sum of digits gives 101011106016.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2598115 + ... + 2636706.

It is an arithmetic number, because the mean of its divisors is an integer number (4049134817).

Almost surely, 2^101011106016 is an apocalyptic number.

101011106016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101011106016 is an abundant number, since it is smaller than the sum of its proper divisors (190526600808).

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

101011106016 is a wasteful number, since it uses less digits than its factorization.

101011106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234904 (or 5234893 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101011106016 its reverse (610601110101), we get a palindrome (711612216117).

The spelling of 101011106016 in words is "one hundred one billion, eleven million, one hundred six thousand, sixteen".