101321312322120 has 256 divisors, whose sum is σ = 334974189588480. Its totient is φ = 24312718464000.

The previous prime is 101321312322071. The next prime is 101321312322133. The reversal of 101321312322120 is 21223213123101.

It is a super-2 number, since 2×101321312322120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482913477 + ... + 483123243.

It is an arithmetic number, because the mean of its divisors is an integer number (1308492928080).

Almost surely, 2^{101321312322120} is an apocalyptic number.

101321312322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101321312322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167487094794240).

101321312322120 is an abundant number, since it is smaller than the sum of its proper divisors (233652877266360).

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

101321312322120 is a wasteful number, since it uses less digits than its factorization.

101321312322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213516 (or 213512 counting only the distinct ones).

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

Adding to 101321312322120 its reverse (21223213123101), we get a palindrome (122544525445221).

The spelling of 101321312322120 in words is "one hundred one trillion, three hundred twenty-one billion, three hundred twelve million, three hundred twenty-two thousand, one hundred twenty".