101110002101 has 4 divisors (see below), whose sum is σ = 104371615104. Its totient is φ = 97848389100.

The previous prime is 101110002089. The next prime is 101110002109. The reversal of 101110002101 is 101200011101.

It is a happy number.

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 a cyclic number.

It is not a de Polignac number, because 101110002101 - 2¹⁰ = 101110001077 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 (101110002109) 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 3 ways as a sum of consecutive naturals, for example, 1630806455 + ... + 1630806516.

It is an arithmetic number, because the mean of its divisors is an integer number (26092903776).

Almost surely, 2^101110002101 is an apocalyptic number.

It is an amenable number.

101110002101 is a deficient number, since it is larger than the sum of its proper divisors (3261613003).

101110002101 is an equidigital number, since it uses as much as digits as its factorization.

101110002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261613002.

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

Adding to 101110002101 its reverse (101200011101), we get a palindrome (202310013202).

The spelling of 101110002101 in words is "one hundred one billion, one hundred ten million, two thousand, one hundred one".