101321202313122 has 64 divisors (see below), whose sum is σ = 224731698490368. Its totient is φ = 30198079800000.

The previous prime is 101321202313061. The next prime is 101321202313129. The reversal of 101321202313122 is 221313202123101.

It is a super-3 number, since 3×101321202313122³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101321202313092 and 101321202313101.

It is not an unprimeable number, because it can be changed into a prime (101321202313129) 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 31 ways as a sum of consecutive naturals, for example, 49323568 + ... + 51336699.

It is an arithmetic number, because the mean of its divisors is an integer number (3511432788912).

Almost surely, 2^{101321202313122} is an apocalyptic number.

101321202313122 is an abundant number, since it is smaller than the sum of its proper divisors (123410496177246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101321202313122 is a wasteful number, since it uses less digits than its factorization.

101321202313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100660535.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101321202313122 its reverse (221313202123101), we get a palindrome (322634404436223).

The spelling of 101321202313122 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred two million, three hundred thirteen thousand, one hundred twenty-two".