2010102122101 has 2 divisors, whose sum is σ = 2010102122102. Its totient is φ = 2010102122100.

The previous prime is 2010102122099. The next prime is 2010102122153. The reversal of 2010102122101 is 1012212010102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1051414398225 + 958687723876 = 1025385^2 + 979126^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010102122101 - 2¹ = 2010102122099 is a prime.

Together with 2010102122099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010102122191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005051061050 + 1005051061051.

It is an arithmetic number, because the mean of its divisors is an integer number (1005051061051).

Almost surely, 2^{2010102122101} is an apocalyptic number.

It is an amenable number.

2010102122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010102122101 is an equidigital number, since it uses as much as digits as its factorization.

2010102122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2010102122101 its reverse (1012212010102), we get a palindrome (3022314132203).

The spelling of 2010102122101 in words is "two trillion, ten billion, one hundred two million, one hundred twenty-two thousand, one hundred one".