101101102201 has 8 divisors (see below), whose sum is σ = 111085581600. Its totient is φ = 91248867840.

The previous prime is 101101102199. The next prime is 101101102211. The reversal of 101101102201 is 102201101101.

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 101101102201 - 2¹ = 101101102199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101102211) 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 7 ways as a sum of consecutive naturals, for example, 33059656 + ... + 33062713.

It is an arithmetic number, because the mean of its divisors is an integer number (13885697700).

Almost surely, 2^101101102201 is an apocalyptic number.

101101102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101102201 is a deficient number, since it is larger than the sum of its proper divisors (9984479399).

101101102201 is a wasteful number, since it uses less digits than its factorization.

101101102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66122519.

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

Adding to 101101102201 its reverse (102201101101), we get a palindrome (203302203302).

It can be divided in two parts, 101101 and 102201, that multiplied together give a palindrome (10332623301).

The spelling of 101101102201 in words is "one hundred one billion, one hundred one million, one hundred two thousand, two hundred one".