2121120212101 has 16 divisors (see below), whose sum is σ = 2325316264128. Its totient is φ = 1918839974400.

The previous prime is 2121120212089. The next prime is 2121120212131. The reversal of 2121120212101 is 1012120211212.

It is a cyclic number.

It is not a de Polignac number, because 2121120212101 - 2⁹ = 2121120211589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121120212131) 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, 1458421 + ... + 2523733.

It is an arithmetic number, because the mean of its divisors is an integer number (145332266508).

Almost surely, 2^{2121120212101} is an apocalyptic number.

It is an amenable number.

2121120212101 is a deficient number, since it is larger than the sum of its proper divisors (204196052027).

2121120212101 is a wasteful number, since it uses less digits than its factorization.

2121120212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066212.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121120212101 its reverse (1012120211212), we get a palindrome (3133240423313).

The spelling of 2121120212101 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand, one hundred one".