100101101100 has 288 divisors, whose sum is σ = 388869444096. Its totient is φ = 19200153600.

The previous prime is 100101101059. The next prime is 100101101117. The reversal of 100101101100 is 1101101001.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133632 + ... + 466968.

Almost surely, 2^100101101100 is an apocalyptic number.

100101101100 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 100101101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194434722048).

100101101100 is an abundant number, since it is smaller than the sum of its proper divisors (288768342996).

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

100101101100 is a wasteful number, since it uses less digits than its factorization.

100101101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333385 (or 333378 counting only the distinct ones).

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

Adding to 100101101100 its reverse (1101101001), we get a palindrome (101202202101).

Subtracting from 100101101100 its reverse (1101101001), we obtain a palindrome (99000000099).

The spelling of 100101101100 in words is "one hundred billion, one hundred one million, one hundred one thousand, one hundred".