100101101100100 has 36 divisors (see below), whose sum is σ = 224709713165700. Its totient is φ = 38659735596160.

The previous prime is 100101101100061. The next prime is 100101101100107. The reversal of 100101101100100 is 1001101101001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10013515963396 + 90087585136704 = 3164414^2 + 9491448^2 .

It is not an unprimeable number, because it can be changed into a prime (100101101100107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17258807635 + ... + 17258813434.

It is an arithmetic number, because the mean of its divisors is an integer number (6241936476825).

Almost surely, 2^{100101101100100} is an apocalyptic number.

100101101100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101101100100 is an abundant number, since it is smaller than the sum of its proper divisors (124608612065600).

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

100101101100100 is a wasteful number, since it uses less digits than its factorization.

100101101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34517621112 (or 34517621105 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101101100100 its reverse (1001101101001), we get a palindrome (101102202201101).

Subtracting from 100101101100100 its reverse (1001101101001), we obtain a palindrome (99099999999099).

The spelling of 100101101100100 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred thousand, one hundred".