2101110122101 has 16 divisors (see below), whose sum is σ = 2168945291520. Its totient is φ = 2034344067840.

The previous prime is 2101110122093. The next prime is 2101110122141. The reversal of 2101110122101 is 1012210111012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2101110122101 - 2³ = 2101110122093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101110122141) 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, 1263505 + ... + 2408041.

It is an arithmetic number, because the mean of its divisors is an integer number (135559080720).

Almost surely, 2^{2101110122101} is an apocalyptic number.

It is an amenable number.

2101110122101 is a deficient number, since it is larger than the sum of its proper divisors (67835169419).

2101110122101 is a wasteful number, since it uses less digits than its factorization.

2101110122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145004.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101110122101 its reverse (1012210111012), we get a palindrome (3113320233113).

The spelling of 2101110122101 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred twenty-two thousand, one hundred one".