101122001201 has 8 divisors (see below), whose sum is σ = 109631495400. Its totient is φ = 92716918272.

The previous prime is 101122001179. The next prime is 101122001203. The reversal of 101122001201 is 102100221101.

It can be written as a sum of positive squares in 4 ways, for example, as 4267224976 + 96854776225 = 65324^2 + 311215^2 .

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 101122001201 - 2³⁴ = 83942132017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122001203) 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 7 ways as a sum of consecutive naturals, for example, 26100800 + ... + 26104673.

It is an arithmetic number, because the mean of its divisors is an integer number (13703936925).

Almost surely, 2^101122001201 is an apocalyptic number.

It is an amenable number.

101122001201 is a deficient number, since it is larger than the sum of its proper divisors (8509494199).

101122001201 is a wasteful number, since it uses less digits than its factorization.

101122001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52205635.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101122001201 its reverse (102100221101), we get a palindrome (203222222302).

The spelling of 101122001201 in words is "one hundred one billion, one hundred twenty-two million, one thousand, two hundred one".