2100011121 has 12 divisors (see below), whose sum is σ = 3266684148. Its totient is φ = 1292314464.

The previous prime is 2100011117. The next prime is 2100011129. The reversal of 2100011121 is 1211100012.

It is a happy number.

2100011121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 486864225 + 1613146896 = 22065^2 + 40164^2 .

It is not a de Polignac number, because 2100011121 - 2² = 2100011117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2100011129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8974290 + ... + 8974523.

It is an arithmetic number, because the mean of its divisors is an integer number (272223679).

Almost surely, 2^2100011121 is an apocalyptic number.

It is an amenable number.

2100011121 is a deficient number, since it is larger than the sum of its proper divisors (1166673027).

2100011121 is a wasteful number, since it uses less digits than its factorization.

2100011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17948832 (or 17948829 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2100011121 is about 45825.8782894556. The cubic root of 2100011121 is about 1280.5814255106.

Adding to 2100011121 its reverse (1211100012), we get a palindrome (3311111133).

The spelling of 2100011121 in words is "two billion, one hundred million, eleven thousand, one hundred twenty-one".