102221314305440 has 192 divisors, whose sum is σ = 266138534027520. Its totient is φ = 36794164592640.

The previous prime is 102221314305437. The next prime is 102221314305457. The reversal of 102221314305440 is 44503413122201.

It is a super-2 number, since 2×102221314305440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 102221314305397 and 102221314305406.

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 31 ways as a sum of consecutive naturals, for example, 71968856 + ... + 73375464.

It is an arithmetic number, because the mean of its divisors is an integer number (1386138198060).

Almost surely, 2^{102221314305440} is an apocalyptic number.

102221314305440 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 102221314305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133069267013760).

102221314305440 is an abundant number, since it is smaller than the sum of its proper divisors (163917219722080).

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

102221314305440 is a wasteful number, since it uses less digits than its factorization.

102221314305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407055 (or 1407047 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 102221314305440 its reverse (44503413122201), we get a palindrome (146724727427641).

The spelling of 102221314305440 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred fourteen million, three hundred five thousand, four hundred forty".