2001001011101 has 2 divisors, whose sum is σ = 2001001011102. Its totient is φ = 2001001011100.

The previous prime is 2001001011083. The next prime is 2001001011131. The reversal of 2001001011101 is 1011101001002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1407246003076 + 593755008025 = 1186274^2 + 770555^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001001011101 - 2¹⁴ = 2001000994717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001001011131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000500505550 + 1000500505551.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500505551).

Almost surely, 2^{2001001011101} is an apocalyptic number.

It is an amenable number.

2001001011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001001011101 is an equidigital number, since it uses as much as digits as its factorization.

2001001011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2001001011101 its reverse (1011101001002), we get a palindrome (3012102012103).

The spelling of 2001001011101 in words is "two trillion, one billion, one million, eleven thousand, one hundred one".