2001002137 has 2 divisors, whose sum is σ = 2001002138. Its totient is φ = 2001002136.

The previous prime is 2001002077. The next prime is 2001002149. The reversal of 2001002137 is 7312001002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1989516816 + 11485321 = 44604^2 + 3389^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001002137 - 2¹⁹ = 2000477849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001002137.

It is not a weakly prime, because it can be changed into another prime (2001002177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000501068 + 1000501069.

It is an arithmetic number, because the mean of its divisors is an integer number (1000501069).

Almost surely, 2^2001002137 is an apocalyptic number.

It is an amenable number.

2001002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001002137 is an equidigital number, since it uses as much as digits as its factorization.

2001002137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2001002137 is about 44732.5623790992. The cubic root of 2001002137 is about 1260.1314503406.

Adding to 2001002137 its reverse (7312001002), we get a palindrome (9313003139).

The spelling of 2001002137 in words is "two billion, one million, two thousand, one hundred thirty-seven".