100200110110101 has 10 divisors (see below), whose sum is σ = 149681645967062. Its totient is φ = 66800073406680.

The previous prime is 100200110110007. The next prime is 100200110110129. The reversal of 100200110110101 is 101011011002001.

It can be written as a sum of positive squares in only one way, i.e., 97491946187601 + 2708163922500 = 9873801^2 + 1645650^2 .

It is not a de Polignac number, because 100200110110101 - 2²⁵ = 100200076555669 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200110112101) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 618519198130 + ... + 618519198291.

Almost surely, 2^{100200110110101} is an apocalyptic number.

It is an amenable number.

100200110110101 is a deficient number, since it is larger than the sum of its proper divisors (49481535856961).

100200110110101 is an equidigital number, since it uses as much as digits as its factorization.

100200110110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237038396433 (or 1237038396424 counting only the distinct ones).

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

Adding to 100200110110101 its reverse (101011011002001), we get a palindrome (201211121112102).

The spelling of 100200110110101 in words is "one hundred trillion, two hundred billion, one hundred ten million, one hundred ten thousand, one hundred one".