2102000100001 has 32 divisors (see below), whose sum is σ = 2270881267200. Its totient is φ = 1941867728640.

The previous prime is 2102000099989. The next prime is 2102000100023. The reversal of 2102000100001 is 1000010002012.

It is a de Polignac number, because none of the positive numbers 2^k-2102000100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102000100041) 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 31 ways as a sum of consecutive naturals, for example, 14483271 + ... + 14627683.

It is an arithmetic number, because the mean of its divisors is an integer number (70965039600).

Almost surely, 2^{2102000100001} is an apocalyptic number.

It is an amenable number.

2102000100001 is a deficient number, since it is larger than the sum of its proper divisors (168881167199).

2102000100001 is a wasteful number, since it uses less digits than its factorization.

2102000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144729.

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

Adding to 2102000100001 its reverse (1000010002012), we get a palindrome (3102010102013).

The spelling of 2102000100001 in words is "two trillion, one hundred two billion, one hundred thousand, one".