2012100100001 has 32 divisors (see below), whose sum is σ = 2143808025600. Its totient is φ = 1885428679680.

The previous prime is 2012100099991. The next prime is 2012100100013. The reversal of 2012100100001 is 1000010012102.

It is not a de Polignac number, because 2012100100001 - 2³⁴ = 1994920230817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012100109001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 261749780 + ... + 261757466.

It is an arithmetic number, because the mean of its divisors is an integer number (66994000800).

Almost surely, 2^{2012100100001} is an apocalyptic number.

It is an amenable number.

2012100100001 is a deficient number, since it is larger than the sum of its proper divisors (131707925599).

2012100100001 is a wasteful number, since it uses less digits than its factorization.

2012100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9729.

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

Adding to 2012100100001 its reverse (1000010012102), we get a palindrome (3012110112103).

The spelling of 2012100100001 in words is "two trillion, twelve billion, one hundred million, one hundred thousand, one".