102102100 has 36 divisors (see below), whose sum is σ = 222825148. Its totient is φ = 40608000.

The previous prime is 102102089. The next prime is 102102109. The reversal of 102102100 is 1201201.

It can be written as a sum of positive squares in 6 ways, for example, as 2062096 + 100040004 = 1436^2 + 10002^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102109) 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 11 ways as a sum of consecutive naturals, for example, 15280 + ... + 20920.

Almost surely, 2^102102100 is an apocalyptic number.

102102100 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 102102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111412574).

102102100 is an abundant number, since it is smaller than the sum of its proper divisors (120723048).

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

102102100 is a wasteful number, since it uses less digits than its factorization.

102102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 102102100 is about 10104.5583772870. The cubic root of 102102100 is about 467.3887178293.

Adding to 102102100 its reverse (1201201), we get a palindrome (103303301).

The spelling of 102102100 in words is "one hundred two million, one hundred two thousand, one hundred".