1100100212101 has 4 divisors (see below), whose sum is σ = 1200109322304. Its totient is φ = 1000091101900.

The previous prime is 1100100212041. The next prime is 1100100212129. The reversal of 1100100212101 is 1012120010011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 1100100212101 - 2¹⁷ = 1100100081029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100212191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50004555085 + ... + 50004555106.

It is an arithmetic number, because the mean of its divisors is an integer number (300027330576).

Almost surely, 2^{1100100212101} is an apocalyptic number.

1100100212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100100212101 is a deficient number, since it is larger than the sum of its proper divisors (100009110203).

1100100212101 is a wasteful number, since it uses less digits than its factorization.

1100100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100009110202.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100100212101 its reverse (1012120010011), we get a palindrome (2112220222112).

The spelling of 1100100212101 in words is "one trillion, one hundred billion, one hundred million, two hundred twelve thousand, one hundred one".