2121120220101 has 16 divisors (see below), whose sum is σ = 2994600383424. Its totient is φ = 1330864419584.

The previous prime is 2121120220091. The next prime is 2121120220111. The reversal of 2121120220101 is 1010220211212.

It is an interprime number because it is at equal distance from previous prime (2121120220091) and next prime (2121120220111).

It is a cyclic number.

It is not a de Polignac number, because 2121120220101 - 2¹³ = 2121120211909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121120220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520950 + ... + 2560376.

It is an arithmetic number, because the mean of its divisors is an integer number (187162523964).

Almost surely, 2^{2121120220101} is an apocalyptic number.

It is an amenable number.

2121120220101 is a deficient number, since it is larger than the sum of its proper divisors (873480163323).

2121120220101 is a wasteful number, since it uses less digits than its factorization.

2121120220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079460.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121120220101 its reverse (1010220211212), we get a palindrome (3131340431313).

The spelling of 2121120220101 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty thousand, one hundred one".