2101101021111 has 16 divisors (see below), whose sum is σ = 2992927356800. Its totient is φ = 1307205031968.

The previous prime is 2101101021101. The next prime is 2101101021133. The reversal of 2101101021111 is 1111201011012.

It is not a de Polignac number, because 2101101021111 - 2²⁵ = 2101067466679 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 (2101101021101) 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, 275081416 + ... + 275089053.

It is an arithmetic number, because the mean of its divisors is an integer number (187057959800).

Almost surely, 2^{2101101021111} is an apocalyptic number.

2101101021111 is a deficient number, since it is larger than the sum of its proper divisors (891826335689).

2101101021111 is a wasteful number, since it uses less digits than its factorization.

2101101021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550170558.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2101101021111 its reverse (1111201011012), we get a palindrome (3212302032123).

The spelling of 2101101021111 in words is "two trillion, one hundred one billion, one hundred one million, twenty-one thousand, one hundred eleven".