2102122122101 has 2 divisors, whose sum is σ = 2102122122102. Its totient is φ = 2102122122100.

The previous prime is 2102122122071. The next prime is 2102122122103. The reversal of 2102122122101 is 1012212212012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1453411080625 + 648711041476 = 1205575^2 + 805426^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102122122101 - 2²⁶ = 2102055013237 is a prime.

Together with 2102122122103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102122122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102122122103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051061061050 + 1051061061051.

It is an arithmetic number, because the mean of its divisors is an integer number (1051061061051).

Almost surely, 2^{2102122122101} is an apocalyptic number.

It is an amenable number.

2102122122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102122122101 is an equidigital number, since it uses as much as digits as its factorization.

2102122122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2102122122101 its reverse (1012212212012), we get a palindrome (3114334334113).

The spelling of 2102122122101 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".