100110201100101 has 12 divisors (see below), whose sum is σ = 144603723911712. Its totient is φ = 66740087866536.

The previous prime is 100110201100051. The next prime is 100110201100109. The reversal of 100110201100101 is 101001102011001.

It is not a de Polignac number, because 100110201100101 - 2²³ = 100110192711493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110201100109) 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, 14453320 + ... + 20226686.

It is an arithmetic number, because the mean of its divisors is an integer number (12050310325976).

Almost surely, 2^{100110201100101} is an apocalyptic number.

It is an amenable number.

100110201100101 is a deficient number, since it is larger than the sum of its proper divisors (44493522811611).

100110201100101 is a wasteful number, since it uses less digits than its factorization.

100110201100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700040 (or 7700037 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110201100101 its reverse (101001102011001), we get a palindrome (201111303111102).

The spelling of 100110201100101 in words is "one hundred trillion, one hundred ten billion, two hundred one million, one hundred thousand, one hundred one".