2121101101 has 32 divisors (see below), whose sum is σ = 2705177088. Its totient is φ = 1620326400.

The previous prime is 2121101083. The next prime is 2121101137. The reversal of 2121101101 is 1011011212.

It is not a de Polignac number, because 2121101101 - 2⁵ = 2121101069 is a prime.

2121101101 is a modest number, since divided by 101101 gives 2121 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121101141) 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, 272601 + ... + 280273.

It is an arithmetic number, because the mean of its divisors is an integer number (84536784).

Almost surely, 2^2121101101 is an apocalyptic number.

It is an amenable number.

2121101101 is a deficient number, since it is larger than the sum of its proper divisors (584075987).

2121101101 is a wasteful number, since it uses less digits than its factorization.

2121101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2121101101 is about 46055.4133734570. The cubic root of 2121101101 is about 1284.8540263258.

Adding to 2121101101 its reverse (1011011212), we get a palindrome (3132112313).

The spelling of 2121101101 in words is "two billion, one hundred twenty-one million, one hundred one thousand, one hundred one".