100100100017016 has 192 divisors, whose sum is σ = 304486232450400. Its totient is φ = 29441379225600.

The previous prime is 100100100017011. The next prime is 100100100017017. The reversal of 100100100017016 is 610710001001001.

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 100100100017016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100017011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7809396 + ... + 16161276.

Almost surely, 2^{100100100017016} 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 100100100017016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152243116225200).

100100100017016 is an abundant number, since it is smaller than the sum of its proper divisors (204386132433384).

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

100100100017016 is a wasteful number, since it uses less digits than its factorization.

100100100017016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352350 (or 8352343 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

Adding to 100100100017016 its reverse (610710001001001), we get a palindrome (710810101018017).

The spelling of 100100100017016 in words is "one hundred trillion, one hundred billion, one hundred million, seventeen thousand, sixteen".