100110000101100 has 288 divisors, whose sum is σ = 318937750010880. Its totient is φ = 24042272256000.

The previous prime is 100110000101021. The next prime is 100110000101107. The reversal of 100110000101100 is 1101000011001.

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 not an unprimeable number, because it can be changed into a prime (100110000101107) 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, 2411048340 + ... + 2411089860.

Almost surely, 2^{100110000101100} is an apocalyptic number.

100110000101100 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 100110000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159468875005440).

100110000101100 is an abundant number, since it is smaller than the sum of its proper divisors (218827749909780).

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

100110000101100 is a wasteful number, since it uses less digits than its factorization.

100110000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48361 (or 48354 counting only the distinct ones).

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

Adding to 100110000101100 its reverse (1101000011001), we get a palindrome (101211000112101).

Subtracting from 100110000101100 its reverse (1101000011001), we obtain a palindrome (99009000090099).

The spelling of 100110000101100 in words is "one hundred trillion, one hundred ten billion, one hundred one thousand, one hundred".