100110201101 has 8 divisors (see below), whose sum is σ = 100761628824. Its totient is φ = 99458948160.

The previous prime is 100110201089. The next prime is 100110201127. The reversal of 100110201101 is 101102011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16805233225 + 83304967876 = 129635^2 + 288626^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110201101 is a prime.

It is a super-2 number, since 2×100110201101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1224731 + ... + 1303911.

It is an arithmetic number, because the mean of its divisors is an integer number (12595203603).

Almost surely, 2^100110201101 is an apocalyptic number.

It is an amenable number.

100110201101 is a deficient number, since it is larger than the sum of its proper divisors (651427723).

100110201101 is an equidigital number, since it uses as much as digits as its factorization.

100110201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87391.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100110201101 its reverse (101102011001), we get a palindrome (201212212102).

The spelling of 100110201101 in words is "one hundred billion, one hundred ten million, two hundred one thousand, one hundred one".