101331202021121 has 8 divisors (see below), whose sum is σ = 101663485560000. Its totient is φ = 100998959891440.

The previous prime is 101331202021009. The next prime is 101331202021129. The reversal of 101331202021121 is 121120202133101.

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 101331202021121 - 2¹⁴ = 101331202004737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101331202021093 and 101331202021102.

It is not an unprimeable number, because it can be changed into a prime (101331202021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5446331 + ... + 15242208.

It is an arithmetic number, because the mean of its divisors is an integer number (12707935695000).

Almost surely, 2^{101331202021121} is an apocalyptic number.

It is an amenable number.

101331202021121 is a deficient number, since it is larger than the sum of its proper divisors (332283538879).

101331202021121 is a wasteful number, since it uses less digits than its factorization.

101331202021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20704599.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101331202021121 its reverse (121120202133101), we get a palindrome (222451404154222).

The spelling of 101331202021121 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred two million, twenty-one thousand, one hundred twenty-one".