100110110100 has 288 divisors, whose sum is σ = 388904441856. Its totient is φ = 19201881600.

The previous prime is 100110110099. The next prime is 100110110101. The reversal of 100110110100 is 1011011001.

It is an interprime number because it is at equal distance from previous prime (100110110099) and next prime (100110110101).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110110101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133617 + ... + 466983.

Almost surely, 2^100110110100 is an apocalyptic number.

100110110100 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 100110110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194452220928).

100110110100 is an abundant number, since it is smaller than the sum of its proper divisors (288794331756).

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

100110110100 is a wasteful number, since it uses less digits than its factorization.

100110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333415 (or 333408 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100110110100 its reverse (1011011001), we get a palindrome (101121121101).

Subtracting from 100110110100 its reverse (1011011001), we obtain a palindrome (99099099099).

It can be divided in two parts, 1001 and 10110100, that added together give a palindrome (10111101).

The spelling of 100110110100 in words is "one hundred billion, one hundred ten million, one hundred ten thousand, one hundred".