102412100 has 72 divisors (see below), whose sum is σ = 265066368. Its totient is φ = 33580800.

The previous prime is 102412067. The next prime is 102412103. The reversal of 102412100 is 1214201.

It is not an unprimeable number, because it can be changed into a prime (102412103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12920 + ... + 19280.

Almost surely, 2^102412100 is an apocalyptic number.

102412100 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 102412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132533184).

102412100 is an abundant number, since it is smaller than the sum of its proper divisors (162654268).

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

102412100 is a wasteful number, since it uses less digits than its factorization.

102412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102412100 is about 10119.8863629984. The cubic root of 102412100 is about 467.8612647917.

Adding to 102412100 its reverse (1214201), we get a palindrome (103626301).

It can be divided in two parts, 1024 and 12100, that multiplied together give a square (12390400 = 3520²).

The spelling of 102412100 in words is "one hundred two million, four hundred twelve thousand, one hundred".