102000100 has 18 divisors (see below), whose sum is σ = 221340434. Its totient is φ = 40800000.

The previous prime is 102000077. The next prime is 102000109. The reversal of 102000100 is 1000201.

It can be written as a sum of positive squares in 3 ways, for example, as 8916196 + 93083904 = 2986^2 + 9648^2 .

It is a super-3 number, since 3×102000100³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 102000100.

It is not an unprimeable number, because it can be changed into a prime (102000109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 509901 + ... + 510100.

Almost surely, 2^102000100 is an apocalyptic number.

102000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000100 is an abundant number, since it is smaller than the sum of its proper divisors (119340334).

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

102000100 is a wasteful number, since it uses less digits than its factorization.

102000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020015 (or 1020008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 102000100 is about 10099.5098890986. The cubic root of 102000100 is about 467.2330255260.

Adding to 102000100 its reverse (1000201), we get a palindrome (103000301).

The spelling of 102000100 in words is "one hundred two million, one hundred", and thus it is an aban number.