100111211101 has 6 divisors (see below), whose sum is σ = 110039595806. Its totient is φ = 91010191800.

The previous prime is 100111211087. The next prime is 100111211113. The reversal of 100111211101 is 101112111001.

It can be written as a sum of positive squares in only one way, i.e., 69870348900 + 30240862201 = 264330^2 + 173899^2 .

It is not a de Polignac number, because 100111211101 - 2¹⁹ = 100110686813 is a prime.

It is a super-3 number, since 3×100111211101³ (a number of 34 digits) contains 333 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 (100111211191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413682570 + ... + 413682811.

Almost surely, 2^100111211101 is an apocalyptic number.

100111211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111211101 is a deficient number, since it is larger than the sum of its proper divisors (9928384705).

100111211101 is an equidigital number, since it uses as much as digits as its factorization.

100111211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827365403 (or 827365392 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111211101 its reverse (101112111001), we get a palindrome (201223322102).

The spelling of 100111211101 in words is "one hundred billion, one hundred eleven million, two hundred eleven thousand, one hundred one".