2100102001001 has 4 divisors (see below), whose sum is σ = 2125404434832. Its totient is φ = 2074799567172.

The previous prime is 2100102000967. The next prime is 2100102001003. The reversal of 2100102001001 is 1001002010012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100102001001 is a prime.

It is a super-3 number, since 3×2100102001001³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100102001001.

It is not an unprimeable number, because it can be changed into a prime (2100102001003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12651216791 + ... + 12651216956.

It is an arithmetic number, because the mean of its divisors is an integer number (531351108708).

Almost surely, 2^{2100102001001} is an apocalyptic number.

It is an amenable number.

2100102001001 is a deficient number, since it is larger than the sum of its proper divisors (25302433831).

2100102001001 is an equidigital number, since it uses as much as digits as its factorization.

2100102001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25302433830.

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

Adding to 2100102001001 its reverse (1001002010012), we get a palindrome (3101104011013).

The spelling of 2100102001001 in words is "two trillion, one hundred billion, one hundred two million, one thousand, one".