2011101221101 has 32 divisors (see below), whose sum is σ = 2431068733440. Its totient is φ = 1627053521856.

The previous prime is 2011101221071. The next prime is 2011101221119. The reversal of 2011101221101 is 1011221011102.

It is a happy number.

It is not a de Polignac number, because 2011101221101 - 2⁹ = 2011101220589 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 (2011101221201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8111760 + ... + 8356006.

It is an arithmetic number, because the mean of its divisors is an integer number (75970897920).

Almost surely, 2^{2011101221101} is an apocalyptic number.

It is an amenable number.

2011101221101 is a deficient number, since it is larger than the sum of its proper divisors (419967512339).

2011101221101 is a wasteful number, since it uses less digits than its factorization.

2011101221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245193.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2011101221101 its reverse (1011221011102), we get a palindrome (3022322232203).

The spelling of 2011101221101 in words is "two trillion, eleven billion, one hundred one million, two hundred twenty-one thousand, one hundred one".