2011211101 has 8 divisors (see below), whose sum is σ = 2053653624. Its totient is φ = 1969171200.

The previous prime is 2011210997. The next prime is 2011211117. The reversal of 2011211101 is 1011121102.

It can be written as a sum of positive squares in 4 ways, for example, as 84088900 + 1927122201 = 9170^2 + 43899^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011211101 - 2⁹ = 2011210589 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 (2011611101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90550 + ... + 110551.

It is an arithmetic number, because the mean of its divisors is an integer number (256706703).

Almost surely, 2^2011211101 is an apocalyptic number.

It is an amenable number.

2011211101 is a deficient number, since it is larger than the sum of its proper divisors (42442523).

2011211101 is a wasteful number, since it uses less digits than its factorization.

2011211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201311.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2011211101 is about 44846.5283048755. The cubic root of 2011211101 is about 1262.2708484013.

Adding to 2011211101 its reverse (1011121102), we get a palindrome (3022332203).

It can be divided in two parts, 20112 and 11101, that added together give a palindrome (31213).

The spelling of 2011211101 in words is "two billion, eleven million, two hundred eleven thousand, one hundred one".