102220168089600 has 2808 divisors, whose sum is σ = 422996054983320. Its totient is φ = 23543886643200.

The previous prime is 102220168089577. The next prime is 102220168089643. The reversal of 102220168089600 is 6980861022201.

102220168089600 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 20 + 16 + 8 + 0 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 43476404944896 + 58743763144704 = 6593664^2 + 7664448^2 .

It is a super-2 number, since 2×102220168089600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 236074290984 + ... + 236074291416.

Almost surely, 2^{102220168089600} is an apocalyptic number.

102220168089600 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 102220168089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211498027491660).

102220168089600 is an abundant number, since it is smaller than the sum of its proper divisors (320775886893720).

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

102220168089600 is a wasteful number, since it uses less digits than its factorization.

102220168089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 102220168089600 in words is "one hundred two trillion, two hundred twenty billion, one hundred sixty-eight million, eighty-nine thousand, six hundred".