2011000101 has 32 divisors (see below), whose sum is σ = 3150766080. Its totient is φ = 1128177600.

The previous prime is 2011000097. The next prime is 2011000127. The reversal of 2011000101 is 1010001102.

It is not a de Polignac number, because 2011000101 - 2² = 2011000097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19206 + ... + 66263.

It is an arithmetic number, because the mean of its divisors is an integer number (98461440).

Almost surely, 2^2011000101 is an apocalyptic number.

It is an amenable number.

2011000101 is a deficient number, since it is larger than the sum of its proper divisors (1139765979).

2011000101 is a wasteful number, since it uses less digits than its factorization.

2011000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85537.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2011000101 is about 44844.1757756791. The cubic root of 2011000101 is about 1262.2267044418.

Adding to 2011000101 its reverse (1010001102), we get a palindrome (3021001203).

The spelling of 2011000101 in words is "two billion, eleven million, one hundred one", and thus it is an aban number.