2001101141 has 16 divisors (see below), whose sum is σ = 2173878000. Its totient is φ = 1831070208.

The previous prime is 2001101117. The next prime is 2001101153. The reversal of 2001101141 is 1411011002.

It can be written as a sum of positive squares in 8 ways, for example, as 27520516 + 1973580625 = 5246^2 + 44425^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001101141 - 2³⁰ = 927359317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566395 + ... + 1567671.

It is an arithmetic number, because the mean of its divisors is an integer number (135867375).

Almost surely, 2^2001101141 is an apocalyptic number.

It is an amenable number.

2001101141 is a deficient number, since it is larger than the sum of its proper divisors (172776859).

2001101141 is a wasteful number, since it uses less digits than its factorization.

2001101141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2001101141 is about 44733.6689865698. The cubic root of 2001101141 is about 1260.1522325934.

Adding to 2001101141 its reverse (1411011002), we get a palindrome (3412112143).

The spelling of 2001101141 in words is "two billion, one million, one hundred one thousand, one hundred forty-one".