2101112121 has 8 divisors (see below), whose sum is σ = 2847409024. Its totient is φ = 1377778320.

The previous prime is 2101112099. The next prime is 2101112129. The reversal of 2101112121 is 1212111012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2101112121 - 2⁷ = 2101111993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101112097 and 2101112106.

It is not an unprimeable number, because it can be changed into a prime (2101112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5740561 + ... + 5740926.

It is an arithmetic number, because the mean of its divisors is an integer number (355926128).

Almost surely, 2^2101112121 is an apocalyptic number.

It is an amenable number.

2101112121 is a deficient number, since it is larger than the sum of its proper divisors (746296903).

2101112121 is a wasteful number, since it uses less digits than its factorization.

2101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481551.

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

The square root of 2101112121 is about 45837.8895783826. The cubic root of 2101112121 is about 1280.8051820752.

Adding to 2101112121 its reverse (1212111012), we get a palindrome (3313223133).

The spelling of 2101112121 in words is "two billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".