101101020121201 has 8 divisors (see below), whose sum is σ = 101185422157800. Its totient is φ = 101016621565440.

The previous prime is 101101020121183. The next prime is 101101020121217. The reversal of 101101020121201 is 102121020101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71580923223601 + 29520096897600 = 8460551^2 + 5433240^2 .

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 101101020121201 - 2³³ = 101092430186609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101020121291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58959105 + ... + 60649633.

It is an arithmetic number, because the mean of its divisors is an integer number (12648177769725).

Almost surely, 2^{101101020121201} is an apocalyptic number.

It is an amenable number.

101101020121201 is a deficient number, since it is larger than the sum of its proper divisors (84402036599).

101101020121201 is a wasteful number, since it uses less digits than its factorization.

101101020121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740419.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101020121201 its reverse (102121020101101), we get a palindrome (203222040222302).

The spelling of 101101020121201 in words is "one hundred one trillion, one hundred one billion, twenty million, one hundred twenty-one thousand, two hundred one".