101322113222220 has 192 divisors, whose sum is σ = 320224997514240. Its totient is φ = 23711507276800.

The previous prime is 101322113222177. The next prime is 101322113222243. The reversal of 101322113222220 is 22222311223101.

It is a super-2 number, since 2×101322113222220² (a number of 29 digits) contains 22 as substring.

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, 102500449 + ... + 103484231.

It is an arithmetic number, because the mean of its divisors is an integer number (1667838528720).

Almost surely, 2^{101322113222220} is an apocalyptic number.

101322113222220 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 101322113222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160112498757120).

101322113222220 is an abundant number, since it is smaller than the sum of its proper divisors (218902884292020).

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

101322113222220 is a wasteful number, since it uses less digits than its factorization.

101322113222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989216 (or 989214 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101322113222220 its reverse (22222311223101), we get a palindrome (123544424445321).

The spelling of 101322113222220 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirteen million, two hundred twenty-two thousand, two hundred twenty".