2102111002001 has 4 divisors (see below), whose sum is σ = 2225764590372. Its totient is φ = 1978457413632.

The previous prime is 2102111001973. The next prime is 2102111002003. The reversal of 2102111002001 is 1002001112012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1634692659601 + 467418342400 = 1278551^2 + 683680^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102111002001 - 2¹⁴ = 2102110985617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102111002003) 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, 61826794160 + ... + 61826794193.

It is an arithmetic number, because the mean of its divisors is an integer number (556441147593).

Almost surely, 2^{2102111002001} is an apocalyptic number.

It is an amenable number.

2102111002001 is a deficient number, since it is larger than the sum of its proper divisors (123653588371).

2102111002001 is a wasteful number, since it uses less digits than its factorization.

2102111002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123653588370.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2102111002001 its reverse (1002001112012), we get a palindrome (3104112114013).

The spelling of 2102111002001 in words is "two trillion, one hundred two billion, one hundred eleven million, two thousand, one".