2121112101 has 16 divisors (see below), whose sum is σ = 3073034240. Its totient is φ = 1296434160.

The previous prime is 2121112093. The next prime is 2121112157. The reversal of 2121112101 is 1012111212.

It is not a de Polignac number, because 2121112101 - 2³ = 2121112093 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 (2121112181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598435 + ... + 601968.

It is an arithmetic number, because the mean of its divisors is an integer number (192064640).

Almost surely, 2^2121112101 is an apocalyptic number.

It is an amenable number.

2121112101 is a deficient number, since it is larger than the sum of its proper divisors (951922139).

2121112101 is a wasteful number, since it uses less digits than its factorization.

2121112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200456.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2121112101 is about 46055.5327946600. The cubic root of 2121112101 is about 1284.8562474002.

Adding to 2121112101 its reverse (1012111212), we get a palindrome (3133223313).

The spelling of 2121112101 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred one".