2102120122101 has 24 divisors (see below), whose sum is σ = 2822797725984. Its totient is φ = 1391492662560.

The previous prime is 2102120122079. The next prime is 2102120122103. The reversal of 2102120122101 is 1012210212012.

It is not a de Polignac number, because 2102120122101 - 2⁹ = 2102120121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102120122103) 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 23 ways as a sum of consecutive naturals, for example, 58314255 + ... + 58350291.

It is an arithmetic number, because the mean of its divisors is an integer number (117616571916).

Almost surely, 2^{2102120122101} is an apocalyptic number.

It is an amenable number.

2102120122101 is a deficient number, since it is larger than the sum of its proper divisors (720677603883).

2102120122101 is an equidigital number, since it uses as much as digits as its factorization.

2102120122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36929 (or 36730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2102120122101 its reverse (1012210212012), we get a palindrome (3114330334113).

The spelling of 2102120122101 in words is "two trillion, one hundred two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred one".