100012102001 has 16 divisors (see below), whose sum is σ = 117109819008. Its totient is φ = 83617756800.

The previous prime is 100012101953. The next prime is 100012102027. The reversal of 100012102001 is 100201210001.

It is a cyclic number.

It is not a de Polignac number, because 100012102001 - 2³⁰ = 98938360177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100012102001.

It is not an unprimeable number, because it can be changed into a prime (100012102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603286 + ... + 1664496.

It is an arithmetic number, because the mean of its divisors is an integer number (7319363688).

Almost surely, 2^100012102001 is an apocalyptic number.

It is an amenable number.

100012102001 is a deficient number, since it is larger than the sum of its proper divisors (17097717007).

100012102001 is an equidigital number, since it uses as much as digits as its factorization.

100012102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66952.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100012102001 its reverse (100201210001), we get a palindrome (200213312002).

The spelling of 100012102001 in words is "one hundred billion, twelve million, one hundred two thousand, one".