2011320101 has 20 divisors (see below), whose sum is σ = 2381611872. Its totient is φ = 1698121656.

The previous prime is 2011320071. The next prime is 2011320119. The reversal of 2011320101 is 1010231102.

It is not a de Polignac number, because 2011320101 - 2¹⁰ = 2011319077 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 (2011320301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154616 + ... + 167118.

Almost surely, 2^2011320101 is an apocalyptic number.

It is an amenable number.

2011320101 is a deficient number, since it is larger than the sum of its proper divisors (370291771).

2011320101 is an frugal number, since it uses more digits than its factorization.

2011320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12598 (or 12577 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2011320101 is about 44847.7435441294. The cubic root of 2011320101 is about 1262.2936514173.

Adding to 2011320101 its reverse (1010231102), we get a palindrome (3021551203).

The spelling of 2011320101 in words is "two billion, eleven million, three hundred twenty thousand, one hundred one".