100111002101 has 8 divisors (see below), whose sum is σ = 109882016544. Its totient is φ = 90451656720.

The previous prime is 100111002073. The next prime is 100111002127. The reversal of 100111002101 is 101200111001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100111002101 - 2¹⁰ = 100111001077 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 (100111002151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27915386 + ... + 27918971.

It is an arithmetic number, because the mean of its divisors is an integer number (13735252068).

Almost surely, 2^100111002101 is an apocalyptic number.

100111002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111002101 is a deficient number, since it is larger than the sum of its proper divisors (9771014443).

100111002101 is a wasteful number, since it uses less digits than its factorization.

100111002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55834531.

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

Adding to 100111002101 its reverse (101200111001), we get a palindrome (201311113102).

The spelling of 100111002101 in words is "one hundred billion, one hundred eleven million, two thousand, one hundred one".