100100102010 has 64 divisors (see below), whose sum is σ = 245214698112. Its totient is φ = 26142461696.

The previous prime is 100100102009. The next prime is 100100102029. The reversal of 100100102010 is 10201001001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100100102010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829117 + ... + 942143.

It is an arithmetic number, because the mean of its divisors is an integer number (3831479658).

Almost surely, 2^100100102010 is an apocalyptic number.

100100102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122607349056).

100100102010 is an abundant number, since it is smaller than the sum of its proper divisors (145114596102).

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

100100102010 is a wasteful number, since it uses less digits than its factorization.

100100102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113647.

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

Adding to 100100102010 its reverse (10201001001), we get a palindrome (110301103011).

The spelling of 100100102010 in words is "one hundred billion, one hundred million, one hundred two thousand, ten".