202111101101 has 12 divisors (see below), whose sum is σ = 253194127452. Its totient is φ = 159912079488.

The previous prime is 202111101061. The next prime is 202111101121. The reversal of 202111101101 is 101101111202.

202111101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 115498022500 + 86613078601 = 339850^2 + 294301^2 .

It is not a de Polignac number, because 202111101101 - 2⁶ = 202111101037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202111101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158642300 + ... + 158643573.

It is an arithmetic number, because the mean of its divisors is an integer number (21099510621).

Almost surely, 2^202111101101 is an apocalyptic number.

It is an amenable number.

202111101101 is a deficient number, since it is larger than the sum of its proper divisors (51083026351).

202111101101 is a wasteful number, since it uses less digits than its factorization.

202111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317285900 (or 317285893 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 202111101101 its reverse (101101111202), we get a palindrome (303212212303).

It can be divided in two parts, 202111101 and 101, that added together give a palindrome (202111202).

The spelling of 202111101101 in words is "two hundred two billion, one hundred eleven million, one hundred one thousand, one hundred one".