2010011101101 has 12 divisors (see below), whose sum is σ = 2903373830812. Its totient is φ = 1339996110336.

The previous prime is 2010011101081. The next prime is 2010011101117. The reversal of 2010011101101 is 1011011100102.

It can be written as a sum of positive squares in 2 ways, for example, as 1003901798601 + 1006109302500 = 1001949^2 + 1003050^2 .

It is not a de Polignac number, because 2010011101101 - 2⁶ = 2010011101037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010011101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268455 + ... + 2022891.

Almost surely, 2^{2010011101101} is an apocalyptic number.

It is an amenable number.

2010011101101 is a deficient number, since it is larger than the sum of its proper divisors (893362729711).

2010011101101 is a wasteful number, since it uses less digits than its factorization.

2010011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881740 (or 1881737 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2010011101101 its reverse (1011011100102), we get a palindrome (3021022201203).

Subtracting from 2010011101101 its reverse (1011011100102), we obtain a palindrome (999000000999).

It can be divided in two parts, 2010011 and 101101, that added together give a palindrome (2111112).

The spelling of 2010011101101 in words is "two trillion, ten billion, eleven million, one hundred one thousand, one hundred one".