2102110120101 has 16 divisors (see below), whose sum is σ = 2848842106880. Its totient is φ = 1378393744320.

The previous prime is 2102110120067. The next prime is 2102110120129. The reversal of 2102110120101 is 1010210112012.

It is not a de Polignac number, because 2102110120101 - 2²⁷ = 2101975902373 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 (2102110120151) 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 15 ways as a sum of consecutive naturals, for example, 7211676 + ... + 7497498.

It is an arithmetic number, because the mean of its divisors is an integer number (178052631680).

Almost surely, 2^{2102110120101} is an apocalyptic number.

It is an amenable number.

2102110120101 is a deficient number, since it is larger than the sum of its proper divisors (746731986779).

2102110120101 is a wasteful number, since it uses less digits than its factorization.

2102110120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326076.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2102110120101 its reverse (1010210112012), we get a palindrome (3112320232113).

The spelling of 2102110120101 in words is "two trillion, one hundred two billion, one hundred ten million, one hundred twenty thousand, one hundred one".