212123102013 has 6 divisors (see below), whose sum is σ = 306400036254. Its totient is φ = 141415401336.

The previous prime is 212123101999. The next prime is 212123102089. The reversal of 212123102013 is 310201321212.

It can be written as a sum of positive squares in only one way, i.e., 176982600249 + 35140501764 = 420693^2 + 187458^2 .

It is not a de Polignac number, because 212123102013 - 2²² = 212118907709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123104013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11784616770 + ... + 11784616787.

It is an arithmetic number, because the mean of its divisors is an integer number (51066672709).

Almost surely, 2^212123102013 is an apocalyptic number.

It is an amenable number.

212123102013 is a deficient number, since it is larger than the sum of its proper divisors (94276934241).

212123102013 is a wasteful number, since it uses less digits than its factorization.

212123102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23569233563 (or 23569233560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212123102013 its reverse (310201321212), we get a palindrome (522324423225).

It can be divided in two parts, 21212 and 3102013, that multiplied together give a palindrome (65799899756).

The spelling of 212123102013 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred two thousand, thirteen".