101022331321020 has 48 divisors (see below), whose sum is σ = 286270509974400. Its totient is φ = 26614718611776.

The previous prime is 101022331320991. The next prime is 101022331321031. The reversal of 101022331321020 is 20123133220101.

101022331321020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101022331321020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10142799370 + ... + 10142809329.

It is an arithmetic number, because the mean of its divisors is an integer number (5963968957800).

Almost surely, 2^{101022331321020} is an apocalyptic number.

101022331321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022331321020 is an abundant number, since it is smaller than the sum of its proper divisors (185248178653380).

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

101022331321020 is a wasteful number, since it uses less digits than its factorization.

101022331321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20285608794 (or 20285608792 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101022331321020 its reverse (20123133220101), we get a palindrome (121145464541121).

The spelling of 101022331321020 in words is "one hundred one trillion, twenty-two billion, three hundred thirty-one million, three hundred twenty-one thousand, twenty".