2000110101101 has 16 divisors (see below), whose sum is σ = 2293654347264. Its totient is φ = 1708528719744.

The previous prime is 2000110100971. The next prime is 2000110101133. The reversal of 2000110101101 is 1011010110002.

It is a happy number.

It is not a de Polignac number, because 2000110101101 - 2¹⁴ = 2000110084717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000100101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2195921 + ... + 2970233.

It is an arithmetic number, because the mean of its divisors is an integer number (143353396704).

Almost surely, 2^{2000110101101} is an apocalyptic number.

It is an amenable number.

2000110101101 is a deficient number, since it is larger than the sum of its proper divisors (293544246163).

2000110101101 is an equidigital number, since it uses as much as digits as its factorization.

2000110101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775580.

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

Adding to 2000110101101 its reverse (1011010110002), we get a palindrome (3011120211103).

The spelling of 2000110101101 in words is "two trillion, one hundred ten million, one hundred one thousand, one hundred one".