100000002102 has 128 divisors (see below), whose sum is σ = 268703059968. Its totient is φ = 23960707200.

The previous prime is 100000002097. The next prime is 100000002103. The reversal of 100000002102 is 201200000001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000002103) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11449077 + ... + 11457807.

It is an arithmetic number, because the mean of its divisors is an integer number (2099242656).

Almost surely, 2^100000002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134351529984).

100000002102 is an abundant number, since it is smaller than the sum of its proper divisors (168703057866).

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

100000002102 is a wasteful number, since it uses less digits than its factorization.

100000002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674.

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

Adding to 100000002102 its reverse (201200000001), we get a palindrome (301200002103).

The spelling of 100000002102 in words is "one hundred billion, two thousand, one hundred two".