2001212102137 has 2 divisors, whose sum is σ = 2001212102138. Its totient is φ = 2001212102136.

The previous prime is 2001212102077. The next prime is 2001212102171. The reversal of 2001212102137 is 7312012121002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1812943759936 + 188268342201 = 1346456^2 + 433899^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001212102137 - 2⁷ = 2001212102009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001212102737) 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 as a sum of consecutive naturals, namely, 1000606051068 + 1000606051069.

It is an arithmetic number, because the mean of its divisors is an integer number (1000606051069).

Almost surely, 2^{2001212102137} is an apocalyptic number.

It is an amenable number.

2001212102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001212102137 is an equidigital number, since it uses as much as digits as its factorization.

2001212102137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 2001212102137 its reverse (7312012121002), we get a palindrome (9313224223139).

The spelling of 2001212102137 in words is "two trillion, one billion, two hundred twelve million, one hundred two thousand, one hundred thirty-seven".