101201101121 has 8 divisors (see below), whose sum is σ = 102139151400. Its totient is φ = 100263225600.

The previous prime is 101201101051. The next prime is 101201101139. The reversal of 101201101121 is 121101102101.

It can be written as a sum of positive squares in 4 ways, for example, as 9286020496 + 91915080625 = 96364^2 + 303175^2 .

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 101201101121 - 2³⁴ = 84021231937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314275 + ... + 1389143.

It is an arithmetic number, because the mean of its divisors is an integer number (12767393925).

Almost surely, 2^101201101121 is an apocalyptic number.

It is an amenable number.

101201101121 is a deficient number, since it is larger than the sum of its proper divisors (938050279).

101201101121 is a wasteful number, since it uses less digits than its factorization.

101201101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87379.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101201101121 its reverse (121101102101), we get a palindrome (222302203222).

The spelling of 101201101121 in words is "one hundred one billion, two hundred one million, one hundred one thousand, one hundred twenty-one".