101010212122123 has 2 divisors, whose sum is σ = 101010212122124. Its totient is φ = 101010212122122.

The previous prime is 101010212122121. The next prime is 101010212122159. The reversal of 101010212122123 is 321221212010101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101010212122123 - 2¹ = 101010212122121 is a prime.

Together with 101010212122121, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101010212122123.

It is not a weakly prime, because it can be changed into another prime (101010212122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505106061061 + 50505106061062.

It is an arithmetic number, because the mean of its divisors is an integer number (50505106061062).

Almost surely, 2^{101010212122123} is an apocalyptic number.

101010212122123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010212122123 is an equidigital number, since it uses as much as digits as its factorization.

101010212122123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101010212122123 its reverse (321221212010101), we get a palindrome (422231424132224).

The spelling of 101010212122123 in words is "one hundred one trillion, ten billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-three".