2122102212121 has 32 divisors (see below), whose sum is σ = 2251165996800. Its totient is φ = 1997449359360.

The previous prime is 2122102212119. The next prime is 2122102212127. The reversal of 2122102212121 is 1212122012212.

It is a cyclic number.

It is not a de Polignac number, because 2122102212121 - 2¹ = 2122102212119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122102212127) 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 31 ways as a sum of consecutive naturals, for example, 257438826 + ... + 257447068.

It is an arithmetic number, because the mean of its divisors is an integer number (70348937400).

Almost surely, 2^{2122102212121} is an apocalyptic number.

It is an amenable number.

2122102212121 is a deficient number, since it is larger than the sum of its proper divisors (129063784679).

2122102212121 is a wasteful number, since it uses less digits than its factorization.

2122102212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9729.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2122102212121 its reverse (1212122012212), we get a palindrome (3334224224333).

The spelling of 2122102212121 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, one hundred twenty-one".