2001101101 has 2 divisors, whose sum is σ = 2001101102. Its totient is φ = 2001101100.

The previous prime is 2001101051. The next prime is 2001101117. The reversal of 2001101101 is 1011011002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1055600100 + 945501001 = 32490^2 + 30749^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001101101 - 2²¹ = 1999003949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001102101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550550 + 1000550551.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550551).

Almost surely, 2^2001101101 is an apocalyptic number.

It is an amenable number.

2001101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001101101 is an equidigital number, since it uses as much as digits as its factorization.

2001101101 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 7.

The square root of 2001101101 is about 44733.6685394793. The cubic root of 2001101101 is about 1260.1522241970.

Adding to 2001101101 its reverse (1011011002), we get a palindrome (3012112103).

Subtracting from 2001101101 its reverse (1011011002), we obtain a palindrome (990090099).

The spelling of 2001101101 in words is "two billion, one million, one hundred one thousand, one hundred one".