2102110111101 has 256 divisors, whose sum is σ = 4023613440000. Its totient is φ = 960178222080.

The previous prime is 2102110111081. The next prime is 2102110111103. The reversal of 2102110111101 is 1011110112012.

It is not a de Polignac number, because 2102110111101 - 2⁵ = 2102110111069 is a prime.

It is a super-3 number, since 3×2102110111101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102110111103) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 910397335 + ... + 910399643.

It is an arithmetic number, because the mean of its divisors is an integer number (15717240000).

Almost surely, 2^{2102110111101} is an apocalyptic number.

2102110111101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102110111101 is a deficient number, since it is larger than the sum of its proper divisors (1921503328899).

2102110111101 is a wasteful number, since it uses less digits than its factorization.

2102110111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2102110111101 its reverse (1011110112012), we get a palindrome (3113220223113).

The spelling of 2102110111101 in words is "two trillion, one hundred two billion, one hundred ten million, one hundred eleven thousand, one hundred one".