2112102122101 has 4 divisors (see below), whose sum is σ = 2131479205900. Its totient is φ = 2092725038304.

The previous prime is 2112102122003. The next prime is 2112102122113. The reversal of 2112102122101 is 1012212012112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1548964441476 + 563137680625 = 1244574^2 + 750425^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112102122101 - 2²¹ = 2112100024949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112102123101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9688541736 + ... + 9688541953.

It is an arithmetic number, because the mean of its divisors is an integer number (532869801475).

Almost surely, 2^{2112102122101} is an apocalyptic number.

It is an amenable number.

2112102122101 is a deficient number, since it is larger than the sum of its proper divisors (19377083799).

2112102122101 is a wasteful number, since it uses less digits than its factorization.

2112102122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19377083798.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112102122101 its reverse (1012212012112), we get a palindrome (3124314134213).

The spelling of 2112102122101 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred one".