100100110002101 has 6 divisors (see below), whose sum is σ = 110027393638806. Its totient is φ = 91000100001800.

The previous prime is 100100110002071. The next prime is 100100110002121. The reversal of 100100110002101 is 101200011001001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90425360100625 + 9674749901476 = 9509225^2 + 3110426^2 .

It is not a de Polignac number, because 100100110002101 - 2³⁰ = 100099036260277 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 (100100110002121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413636818070 + ... + 413636818311.

It is an arithmetic number, because the mean of its divisors is an integer number (18337898939801).

Almost surely, 2^{100100110002101} is an apocalyptic number.

100100110002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100110002101 is a deficient number, since it is larger than the sum of its proper divisors (9927283636705).

100100110002101 is an equidigital number, since it uses as much as digits as its factorization.

100100110002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827273636403 (or 827273636392 counting only the distinct ones).

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

Adding to 100100110002101 its reverse (101200011001001), we get a palindrome (201300121003102).

The spelling of 100100110002101 in words is "one hundred trillion, one hundred billion, one hundred ten million, two thousand, one hundred one".