100100110100 has 144 divisors (see below), whose sum is σ = 233106080256. Its totient is φ = 37217664000.

The previous prime is 100100110051. The next prime is 100100110129. The reversal of 100100110100 is 1011001001.

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

It is a congruent number.

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, 25553342 + ... + 25557258.

It is an arithmetic number, because the mean of its divisors is an integer number (1618792224).

Almost surely, 2^100100110100 is an apocalyptic number.

100100110100 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 100100110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116553040128).

100100110100 is an abundant number, since it is smaller than the sum of its proper divisors (133005970156).

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

100100110100 is a wasteful number, since it uses less digits than its factorization.

100100110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4259 counting only the distinct ones).

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

Adding to 100100110100 its reverse (1011001001), we get a palindrome (101111111101).

It can be divided in two parts, 1001001 and 10100, that added together give a palindrome (1011101).

The spelling of 100100110100 in words is "one hundred billion, one hundred million, one hundred ten thousand, one hundred".