102121600 has 192 divisors, whose sum is σ = 297480960. Its totient is φ = 33914880.

The previous prime is 102121597. The next prime is 102121631. The reversal of 102121600 is 6121201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1052752 + ... + 1052848.

It is an arithmetic number, because the mean of its divisors is an integer number (1549380).

Almost surely, 2^102121600 is an apocalyptic number.

102121600 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 102121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

102121600 is an abundant number, since it is smaller than the sum of its proper divisors (195359360).

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

102121600 is an equidigital number, since it uses as much as digits as its factorization.

102121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102121600 is about 10105.5232422671. The cubic root of 102121600 is about 467.4184707264.

Adding to 102121600 its reverse (6121201), we get a palindrome (108242801).

The spelling of 102121600 in words is "one hundred two million, one hundred twenty-one thousand, six hundred".