101100201201 has 12 divisors (see below), whose sum is σ = 147099564612. Its totient is φ = 66908161536.

The previous prime is 101100201193. The next prime is 101100201211. The reversal of 101100201201 is 102102001101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27537743025 + 73562458176 = 165945^2 + 271224^2 .

It is not a de Polignac number, because 101100201201 - 2³ = 101100201193 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101100201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40996416 + ... + 40998881.

It is an arithmetic number, because the mean of its divisors is an integer number (12258297051).

Almost surely, 2^101100201201 is an apocalyptic number.

It is an amenable number.

101100201201 is a deficient number, since it is larger than the sum of its proper divisors (45999363411).

101100201201 is a wasteful number, since it uses less digits than its factorization.

101100201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81995440 (or 81995437 counting only the distinct ones).

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

Adding to 101100201201 its reverse (102102001101), we get a palindrome (203202202302).

The spelling of 101100201201 in words is "one hundred one billion, one hundred million, two hundred one thousand, two hundred one".