101201121220985 has 8 divisors (see below), whose sum is σ = 124723543991496. Its totient is φ = 78772764625920.

The previous prime is 101201121220973. The next prime is 101201121220987. The reversal of 101201121220985 is 589022121102101.

It can be written as a sum of positive squares in 4 ways, for example, as 25125517151296 + 76075604069689 = 5012536^2 + 8722133^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101201121220985 - 2²⁰ = 101201120172409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201121220987) 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, 273516543656 + ... + 273516544025.

It is an arithmetic number, because the mean of its divisors is an integer number (15590442998937).

Almost surely, 2^{101201121220985} is an apocalyptic number.

It is an amenable number.

101201121220985 is a deficient number, since it is larger than the sum of its proper divisors (23522422770511).

101201121220985 is an equidigital number, since it uses as much as digits as its factorization.

101201121220985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547033087723.

The product of its (nonzero) digits is 5760, while the sum is 35.

The spelling of 101201121220985 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty thousand, nine hundred eighty-five".