212001123137 has 2 divisors, whose sum is σ = 212001123138. Its totient is φ = 212001123136.

The previous prime is 212001123127. The next prime is 212001123163. The reversal of 212001123137 is 731321100212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137404403761 + 74596719376 = 370681^2 + 273124^2 .

It is a cyclic number.

It is not a de Polignac number, because 212001123137 - 2³⁴ = 194821253953 is a prime.

It is a super-2 number, since 2×212001123137² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212001123127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000561568 + 106000561569.

It is an arithmetic number, because the mean of its divisors is an integer number (106000561569).

Almost surely, 2^212001123137 is an apocalyptic number.

It is an amenable number.

212001123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001123137 is an equidigital number, since it uses as much as digits as its factorization.

212001123137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 212001123137 its reverse (731321100212), we get a palindrome (943322223349).

The spelling of 212001123137 in words is "two hundred twelve billion, one million, one hundred twenty-three thousand, one hundred thirty-seven".