101321224022220 has 192 divisors, whose sum is σ = 294817868674560. Its totient is φ = 25978214965248.

The previous prime is 101321224022171. The next prime is 101321224022237. The reversal of 101321224022220 is 22220422123101.

It is a super-3 number, since 3×101321224022220³ (a number of 43 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 141552067 + ... + 142266053.

It is an arithmetic number, because the mean of its divisors is an integer number (1535509732680).

Almost surely, 2^{101321224022220} is an apocalyptic number.

101321224022220 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 101321224022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147408934337280).

101321224022220 is an abundant number, since it is smaller than the sum of its proper divisors (193496644652340).

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

101321224022220 is a wasteful number, since it uses less digits than its factorization.

101321224022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714792 (or 714790 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101321224022220 its reverse (22220422123101), we get a palindrome (123541646145321).

The spelling of 101321224022220 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty-four million, twenty-two thousand, two hundred twenty".