100300102100 has 72 divisors (see below), whose sum is σ = 237826632288. Its totient is φ = 36413020800.

The previous prime is 100300102081. The next prime is 100300102103. The reversal of 100300102100 is 1201003001.

It is a super-2 number, since 2×100300102100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300102103) 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 23 ways as a sum of consecutive naturals, for example, 599927 + ... + 748673.

Almost surely, 2^100300102100 is an apocalyptic number.

100300102100 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 100300102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118913316144).

100300102100 is an abundant number, since it is smaller than the sum of its proper divisors (137526530188).

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

100300102100 is a wasteful number, since it uses less digits than its factorization.

100300102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149385 (or 149378 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100300102100 its reverse (1201003001), we get a palindrome (101501105101).

Subtracting from 100300102100 its reverse (1201003001), we obtain a palindrome (99099099099).

The spelling of 100300102100 in words is "one hundred billion, three hundred million, one hundred two thousand, one hundred".