2011012101 has 24 divisors (see below), whose sum is σ = 3322999680. Its totient is φ = 1148030496.

The previous prime is 2011012097. The next prime is 2011012121. The reversal of 2011012101 is 1012101102.

It is a happy number.

It is not a de Polignac number, because 2011012101 - 2² = 2011012097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51955 + ... + 81983.

It is an arithmetic number, because the mean of its divisors is an integer number (138458320).

Almost surely, 2^2011012101 is an apocalyptic number.

2011012101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011012101 is a deficient number, since it is larger than the sum of its proper divisors (1311987579).

2011012101 is a wasteful number, since it uses less digits than its factorization.

2011012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31105 (or 31102 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2011012101 is about 44844.3095721185. The cubic root of 2011012101 is about 1262.2292150816.

Adding to 2011012101 its reverse (1012101102), we get a palindrome (3023113203).

The spelling of 2011012101 in words is "two billion, eleven million, twelve thousand, one hundred one".