102203221013322 has 512 divisors, whose sum is σ = 256917298176000. Its totient is φ = 26645395046400.

The previous prime is 102203221013291. The next prime is 102203221013329. The reversal of 102203221013322 is 223310122302201.

It is a super-3 number, since 3×102203221013322³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102203221013292 and 102203221013301.

It is not an unprimeable number, because it can be changed into a prime (102203221013329) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 170623073179 + ... + 170623073777.

It is an arithmetic number, because the mean of its divisors is an integer number (501791598000).

Almost surely, 2^{102203221013322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102203221013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128458649088000).

102203221013322 is an abundant number, since it is smaller than the sum of its proper divisors (154714077162678).

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

102203221013322 is a wasteful number, since it uses less digits than its factorization.

102203221013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102203221013322 its reverse (223310122302201), we get a palindrome (325513343315523).

The spelling of 102203221013322 in words is "one hundred two trillion, two hundred three billion, two hundred twenty-one million, thirteen thousand, three hundred twenty-two".