2001133002101 has 2 divisors, whose sum is σ = 2001133002102. Its totient is φ = 2001133002100.

The previous prime is 2001133002083. The next prime is 2001133002103. The reversal of 2001133002101 is 1012003311002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1708246386001 + 292886616100 = 1306999^2 + 541190^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001133002101 - 2²⁶ = 2001065893237 is a prime.

Together with 2001133002103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001133002103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000566501050 + 1000566501051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000566501051).

Almost surely, 2^{2001133002101} is an apocalyptic number.

It is an amenable number.

2001133002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001133002101 is an equidigital number, since it uses as much as digits as its factorization.

2001133002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2001133002101 its reverse (1012003311002), we get a palindrome (3013136313103).

The spelling of 2001133002101 in words is "two trillion, one billion, one hundred thirty-three million, two thousand, one hundred one".