101101101201 has 24 divisors (see below), whose sum is σ = 152260193280. Its totient is φ = 64564135776.

The previous prime is 101101101193. The next prime is 101101101203. The reversal of 101101101201 is 102101101101.

It is not a de Polignac number, because 101101101201 - 2³ = 101101101193 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491895 + ... + 1558188.

It is an arithmetic number, because the mean of its divisors is an integer number (6344174720).

Almost surely, 2^101101101201 is an apocalyptic number.

It is an amenable number.

101101101201 is a deficient number, since it is larger than the sum of its proper divisors (51159092079).

101101101201 is a wasteful number, since it uses less digits than its factorization.

101101101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050245 (or 3050242 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101101201 its reverse (102101101101), we get a palindrome (203202202302).

The spelling of 101101101201 in words is "one hundred one billion, one hundred one million, one hundred one thousand, two hundred one".