2102102110101 has 32 divisors (see below), whose sum is σ = 3246370283520. Its totient is φ = 1185054398784.

The previous prime is 2102102110063. The next prime is 2102102110189. The reversal of 2102102110101 is 1010112012012.

It is not a de Polignac number, because 2102102110101 - 2¹⁰ = 2102102109077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102102120101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385276 + ... + 2086298.

It is an arithmetic number, because the mean of its divisors is an integer number (101449071360).

Almost surely, 2^{2102102110101} is an apocalyptic number.

2102102110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102102110101 is a deficient number, since it is larger than the sum of its proper divisors (1144268173419).

2102102110101 is a wasteful number, since it uses less digits than its factorization.

2102102110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701825.

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

Adding to 2102102110101 its reverse (1010112012012), we get a palindrome (3112214122113).

The spelling of 2102102110101 in words is "two trillion, one hundred two billion, one hundred two million, one hundred ten thousand, one hundred one".