100102002 has 96 divisors (see below), whose sum is σ = 273720384. Its totient is φ = 23990400.

The previous prime is 100101973. The next prime is 100102019. The reversal of 100102002 is 200201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40852 + ... + 43232.

It is an arithmetic number, because the mean of its divisors is an integer number (2851254).

Almost surely, 2^100102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136860192).

100102002 is an abundant number, since it is smaller than the sum of its proper divisors (173618382).

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

100102002 is a wasteful number, since it uses less digits than its factorization.

100102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100102002 is about 10005.0988001119. The cubic root of 100102002 is about 464.3166468475.

Adding to 100102002 its reverse (200201001), we get a palindrome (300303003).

The spelling of 100102002 in words is "one hundred million, one hundred two thousand, two".