2011101001 has 16 divisors (see below), whose sum is σ = 2527870464. Its totient is φ = 1557342144.

The previous prime is 2011100989. The next prime is 2011101031. The reversal of 2011101001 is 1001011102.

It is a cyclic number.

It is not a de Polignac number, because 2011101001 - 2¹¹ = 2011098953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (2011101031) 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, 230830 + ... + 239383.

It is an arithmetic number, because the mean of its divisors is an integer number (157991904).

Almost surely, 2^2011101001 is an apocalyptic number.

It is an amenable number.

2011101001 is a deficient number, since it is larger than the sum of its proper divisors (516769463).

2011101001 is a wasteful number, since it uses less digits than its factorization.

2011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470280.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 2011101001 is about 44845.3007683079. The cubic root of 2011101001 is about 1262.2478144266.

Adding to 2011101001 its reverse (1001011102), we get a palindrome (3012112103).

The spelling of 2011101001 in words is "two billion, eleven million, one hundred one thousand, one".