100010100016 has 10 divisors (see below), whose sum is σ = 193769568812. Its totient is φ = 50005050000.

The previous prime is 100010100011. The next prime is 100010100041. The reversal of 100010100016 is 610001010001.

It is a junction number, because it is equal to n+sod(n) for n = 100010099975 and 100010100011.

It is not an unprimeable number, because it can be changed into a prime (100010100011) 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 as a sum of consecutive naturals, namely, 3125315610 + ... + 3125315641.

Almost surely, 2^100010100016 is an apocalyptic number.

100010100016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100010100016 is a deficient number, since it is larger than the sum of its proper divisors (93759468796).

100010100016 is an equidigital number, since it uses as much as digits as its factorization.

100010100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250631259 (or 6250631253 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100010100016 its reverse (610001010001), we get a palindrome (710011110017).

It can be divided in two parts, 10001010001 and 6, that multiplied together give a palindrome (60006060006).

The spelling of 100010100016 in words is "one hundred billion, ten million, one hundred thousand, sixteen".