212123010101301 has 24 divisors (see below), whose sum is σ = 329970531770880. Its totient is φ = 130536681182496.

The previous prime is 212123010101291. The next prime is 212123010101309. The reversal of 212123010101301 is 103101010321212.

212123010101301 is a `hidden beast` number, since 2 + 1 + 21 + 230 + 10 + 101 + 301 = 666.

It is not a de Polignac number, because 212123010101301 - 2⁷ = 212123010101173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123010101309) 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, 24631540 + ... + 32108546.

It is an arithmetic number, because the mean of its divisors is an integer number (13748772157120).

Almost surely, 2^{212123010101301} is an apocalyptic number.

It is an amenable number.

212123010101301 is a deficient number, since it is larger than the sum of its proper divisors (117847521669579).

212123010101301 is a wasteful number, since it uses less digits than its factorization.

212123010101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719505 (or 7719502 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212123010101301 its reverse (103101010321212), we get a palindrome (315224020422513).

The spelling of 212123010101301 in words is "two hundred twelve trillion, one hundred twenty-three billion, ten million, one hundred one thousand, three hundred one".