100011000102 has 64 divisors (see below), whose sum is σ = 228465800640. Its totient is φ = 28913393664.

The previous prime is 100011000097. The next prime is 100011000113. The reversal of 100011000102 is 201000110001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722724 + ... + 849912.

It is an arithmetic number, because the mean of its divisors is an integer number (3569778135).

Almost surely, 2^100011000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114232900320).

100011000102 is an abundant number, since it is smaller than the sum of its proper divisors (128454800538).

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

100011000102 is a wasteful number, since it uses less digits than its factorization.

100011000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127817.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100011000102 its reverse (201000110001), we get a palindrome (301011110103).

The spelling of 100011000102 in words is "one hundred billion, eleven million, one hundred two", and thus it is an aban number.