101320331122121 has 4 divisors (see below), whose sum is σ = 101342604226500. Its totient is φ = 101298058017744.

The previous prime is 101320331122099. The next prime is 101320331122207. The reversal of 101320331122121 is 121221133023101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 78691891014025 + 22628440108096 = 8870845^2 + 4756936^2 .

It is a cyclic number.

It is not a de Polignac number, because 101320331122121 - 2¹⁴ = 101320331105737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101320331124121) 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 3 ways as a sum of consecutive naturals, for example, 11136545366 + ... + 11136554463.

It is an arithmetic number, because the mean of its divisors is an integer number (25335651056625).

Almost surely, 2^{101320331122121} is an apocalyptic number.

It is an amenable number.

101320331122121 is a deficient number, since it is larger than the sum of its proper divisors (22273104379).

101320331122121 is an equidigital number, since it uses as much as digits as its factorization.

101320331122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22273104378.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101320331122121 its reverse (121221133023101), we get a palindrome (222541464145222).

The spelling of 101320331122121 in words is "one hundred one trillion, three hundred twenty billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred twenty-one".