2121121221101 has 32 divisors (see below), whose sum is σ = 2247181056000. Its totient is φ = 1998081727488.

The previous prime is 2121121221097. The next prime is 2121121221103. The reversal of 2121121221101 is 1011221211212.

It is a cyclic number.

It is not a de Polignac number, because 2121121221101 - 2² = 2121121221097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2121121221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121121221103) 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, 601052705 + ... + 601056233.

It is an arithmetic number, because the mean of its divisors is an integer number (70224408000).

Almost surely, 2^{2121121221101} is an apocalyptic number.

It is an amenable number.

2121121221101 is a deficient number, since it is larger than the sum of its proper divisors (126059834899).

2121121221101 is a wasteful number, since it uses less digits than its factorization.

2121121221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2121121221101 its reverse (1011221211212), we get a palindrome (3132342432313).

The spelling of 2121121221101 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".