2102111100101 has 16 divisors (see below), whose sum is σ = 2195540985600. Its totient is φ = 2008851449088.

The previous prime is 2102111100059. The next prime is 2102111100107. The reversal of 2102111100101 is 1010011112012.

It is a cyclic number.

It is not a de Polignac number, because 2102111100101 - 2¹⁴ = 2102111083717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102111100107) 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, 260512895 + ... + 260520963.

It is an arithmetic number, because the mean of its divisors is an integer number (137221311600).

Almost surely, 2^{2102111100101} is an apocalyptic number.

It is an amenable number.

2102111100101 is a deficient number, since it is larger than the sum of its proper divisors (93429885499).

2102111100101 is a wasteful number, since it uses less digits than its factorization.

2102111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17188.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2102111100101 its reverse (1010011112012), we get a palindrome (3112122212113).

The spelling of 2102111100101 in words is "two trillion, one hundred two billion, one hundred eleven million, one hundred thousand, one hundred one".