100010101000100 has 144 divisors (see below), whose sum is σ = 223182571567872. Its totient is φ = 38876112000000.

The previous prime is 100010101000087. The next prime is 100010101000219. The reversal of 100010101000100 is 1000101010001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10101005150 + ... + 10101015050.

Almost surely, 2^{100010101000100} is an apocalyptic number.

100010101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010101000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111591285783936).

100010101000100 is an abundant number, since it is smaller than the sum of its proper divisors (123172470567772).

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

100010101000100 is a wasteful number, since it uses less digits than its factorization.

100010101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19318 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010101000100 its reverse (1000101010001), we get a palindrome (101010202010101).

Subtracting from 100010101000100 its reverse (1000101010001), we obtain a palindrome (99009999990099).

100010101000100 divided by its reverse (1000101010001) gives a square (100 = 10²).

The spelling of 100010101000100 in words is "one hundred trillion, ten billion, one hundred one million, one hundred", and thus it is an aban number.