100010111016 has 96 divisors (see below), whose sum is σ = 253346032800. Its totient is φ = 32898672000.

The previous prime is 100010110961. The next prime is 100010111029. The reversal of 100010111016 is 610111010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100010110992 and 100010111010.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97952586 + ... + 97953606.

It is an arithmetic number, because the mean of its divisors is an integer number (2639021175).

Almost surely, 2^100010111016 is an apocalyptic number.

It is an amenable number.

100010111016 is an abundant number, since it is smaller than the sum of its proper divisors (153335921784).

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

100010111016 is a wasteful number, since it uses less digits than its factorization.

100010111016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100010111016 its reverse (610111010001), we get a palindrome (710121121017).

The spelling of 100010111016 in words is "one hundred billion, ten million, one hundred eleven thousand, sixteen".