2001000212137 has 2 divisors, whose sum is σ = 2001000212138. Its totient is φ = 2001000212136.

The previous prime is 2001000212089. The next prime is 2001000212177. The reversal of 2001000212137 is 7312120001002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1992377418256 + 8622793881 = 1411516^2 + 92859^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001000212137 - 2⁷ = 2001000212009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001000212177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000500106068 + 1000500106069.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500106069).

Almost surely, 2^{2001000212137} is an apocalyptic number.

It is an amenable number.

2001000212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001000212137 is an equidigital number, since it uses as much as digits as its factorization.

2001000212137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 2001000212137 its reverse (7312120001002), we get a palindrome (9313120213139).

The spelling of 2001000212137 in words is "two trillion, one billion, two hundred twelve thousand, one hundred thirty-seven".