2102100001001 has 24 divisors (see below), whose sum is σ = 2843781834432. Its totient is φ = 1511999992800.

The previous prime is 2102100000887. The next prime is 2102100001003. The reversal of 2102100001001 is 1001000012012.

It is not a de Polignac number, because 2102100001001 - 2³⁴ = 2084920131817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102100001001.

It is not an unprimeable number, because it can be changed into a prime (2102100001003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95443535 + ... + 95465556.

It is an arithmetic number, because the mean of its divisors is an integer number (118490909768).

Almost surely, 2^{2102100001001} is an apocalyptic number.

It is an amenable number.

2102100001001 is a deficient number, since it is larger than the sum of its proper divisors (741681833431).

2102100001001 is a wasteful number, since it uses less digits than its factorization.

2102100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190909133 (or 190909122 counting only the distinct ones).

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

Adding to 2102100001001 its reverse (1001000012012), we get a palindrome (3103100013013).

The spelling of 2102100001001 in words is "two trillion, one hundred two billion, one hundred million, one thousand, one".