2102100000001 has 4 divisors (see below), whose sum is σ = 2113843575600. Its totient is φ = 2090356424404.

The previous prime is 2102099999983. The next prime is 2102100000029. The reversal of 2102100000001 is 1000000012012.

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 not a de Polignac number, because 2102100000001 - 2⁵ = 2102099999969 is a prime.

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 2102100000001.

It is not an unprimeable number, because it can be changed into a prime (2102100000601) 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 3 ways as a sum of consecutive naturals, for example, 5871787531 + ... + 5871787888.

It is an arithmetic number, because the mean of its divisors is an integer number (528460893900).

Almost surely, 2^{2102100000001} is an apocalyptic number.

It is an amenable number.

2102100000001 is a deficient number, since it is larger than the sum of its proper divisors (11743575599).

2102100000001 is a wasteful number, since it uses less digits than its factorization.

2102100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743575598.

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

Adding to 2102100000001 its reverse (1000000012012), we get a palindrome (3102100012013).

The spelling of 2102100000001 in words is "two trillion, one hundred two billion, one hundred million, one", and thus it is an aban number.