10100000014 has 32 divisors (see below), whose sum is σ = 16723143360. Its totient is φ = 4546094592.

The previous prime is 10100000011. The next prime is 10100000017. The reversal of 10100000014 is 41000000101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100000011) and next prime (10100000017).

It is a junction number, because it is equal to n+sod(n) for n = 10099999952 and 10100000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000011) 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, 208182 + ... + 252070.

It is an arithmetic number, because the mean of its divisors is an integer number (522598230).

Almost surely, 2^10100000014 is an apocalyptic number.

10100000014 is a deficient number, since it is larger than the sum of its proper divisors (6623143346).

10100000014 is a wasteful number, since it uses less digits than its factorization.

10100000014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44124.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100000014 its reverse (41000000101), we get a palindrome (51100000115).

The spelling of 10100000014 in words is "ten billion, one hundred million, fourteen", and thus it is an aban number.