2101100110113 has 8 divisors (see below), whose sum is σ = 2802645395488. Its totient is φ = 1400144115744.

The previous prime is 2101100110103. The next prime is 2101100110121. The reversal of 2101100110113 is 3110110011012.

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

It is not a de Polignac number, because 2101100110113 - 2⁶ = 2101100110049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101100110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147314431 + ... + 147328692.

It is an arithmetic number, because the mean of its divisors is an integer number (350330674436).

Almost surely, 2^{2101100110113} is an apocalyptic number.

It is an amenable number.

2101100110113 is a deficient number, since it is larger than the sum of its proper divisors (701545285375).

2101100110113 is a wasteful number, since it uses less digits than its factorization.

2101100110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294645503.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 2101100110113 its reverse (3110110011012), we get a palindrome (5211210121125).

The spelling of 2101100110113 in words is "two trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred thirteen".