101321223021000 has 384 divisors, whose sum is σ = 352701706406400. Its totient is φ = 26215491110400.

The previous prime is 101321223020947. The next prime is 101321223021001. The reversal of 101321223021000 is 120322123101.

101321223021000 is a `hidden beast` number, since 1 + 0 + 13 + 212 + 230 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101321223021001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119123229 + ... + 119970771.

It is an arithmetic number, because the mean of its divisors is an integer number (918494027100).

Almost surely, 2^{101321223021000} is an apocalyptic number.

101321223021000 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 101321223021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176350853203200).

101321223021000 is an abundant number, since it is smaller than the sum of its proper divisors (251380483385400).

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

101321223021000 is a wasteful number, since it uses less digits than its factorization.

101321223021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847966 (or 847949 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101321223021000 its reverse (120322123101), we get a palindrome (101441545144101).

The spelling of 101321223021000 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty-three million, twenty-one thousand".