100011010014 has 32 divisors (see below), whose sum is σ = 225563811840. Its totient is φ = 32839434936.

The previous prime is 100011009997. The next prime is 100011010031. The reversal of 100011010014 is 410010110001.

It is an interprime number because it is at equal distance from previous prime (100011009997) and next prime (100011010031).

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 = 100011009978 and 100011010005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13817694 + ... + 13824929.

It is an arithmetic number, because the mean of its divisors is an integer number (7048869120).

Almost surely, 2^100011010014 is an apocalyptic number.

100011010014 is an abundant number, since it is smaller than the sum of its proper divisors (125552801826).

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

100011010014 is a wasteful number, since it uses less digits than its factorization.

100011010014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27642701 (or 27642695 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011010014 its reverse (410010110001), we get a palindrome (510021120015).

The spelling of 100011010014 in words is "one hundred billion, eleven million, ten thousand, fourteen".