102202113233220 has 768 divisors, whose sum is σ = 391463447961600. Its totient is φ = 19237220352000.

The previous prime is 102202113233197. The next prime is 102202113233239. The reversal of 102202113233220 is 22332311202201.

It is a super-2 number, since 2×102202113233220² (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 (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 685390231 + ... + 685539329.

It is an arithmetic number, because the mean of its divisors is an integer number (509718031200).

Almost surely, 2^{102202113233220} is an apocalyptic number.

102202113233220 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 102202113233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195731723980800).

102202113233220 is an abundant number, since it is smaller than the sum of its proper divisors (289261334728380).

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

102202113233220 is a wasteful number, since it uses less digits than its factorization.

102202113233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149356 (or 149354 counting only the distinct ones).

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

Adding to 102202113233220 its reverse (22332311202201), we get a palindrome (124534424435421).

It can be divided in two parts, 1022021 and 13233220, that added together give a palindrome (14255241).

The spelling of 102202113233220 in words is "one hundred two trillion, two hundred two billion, one hundred thirteen million, two hundred thirty-three thousand, two hundred twenty".