2100100001001 has 16 divisors (see below), whose sum is σ = 2865939409344. Its totient is φ = 1367179236864.

The previous prime is 2100100000987. The next prime is 2100100001029. The reversal of 2100100001001 is 1001000010012.

It is not a de Polignac number, because 2100100001001 - 2⁵ = 2100100000969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100100001071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409916 + ... + 2487581.

It is an arithmetic number, because the mean of its divisors is an integer number (179121213084).

Almost surely, 2^{2100100001001} is an apocalyptic number.

It is an amenable number.

2100100001001 is a deficient number, since it is larger than the sum of its proper divisors (765839408343).

2100100001001 is a wasteful number, since it uses less digits than its factorization.

2100100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901720.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2100100001001 its reverse (1001000010012), we get a palindrome (3101100011013).

It can be divided in two parts, 2 and 100100001001, that multiplied together give a palindrome (200200002002).

The spelling of 2100100001001 in words is "two trillion, one hundred billion, one hundred million, one thousand, one".