2011100010101 has 24 divisors (see below), whose sum is σ = 2519564524344. Its totient is φ = 1591096106880.

The previous prime is 2011100010097. The next prime is 2011100010113. The reversal of 2011100010101 is 1010100011102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72698179876 + 1938401830225 = 269626^2 + 1392265^2 .

It is not a de Polignac number, because 2011100010101 - 2² = 2011100010097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100010301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10518311 + ... + 10707803.

It is an arithmetic number, because the mean of its divisors is an integer number (104981855181).

Almost surely, 2^{2011100010101} is an apocalyptic number.

It is an amenable number.

2011100010101 is a deficient number, since it is larger than the sum of its proper divisors (508464514243).

2011100010101 is a wasteful number, since it uses less digits than its factorization.

2011100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206181 (or 206174 counting only the distinct ones).

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

Adding to 2011100010101 its reverse (1010100011102), we get a palindrome (3021200021203).

The spelling of 2011100010101 in words is "two trillion, eleven billion, one hundred million, ten thousand, one hundred one".