2121002102121 has 8 divisors (see below), whose sum is σ = 3232003203264. Its totient is φ = 1212001201200.

The previous prime is 2121002102101. The next prime is 2121002102173. The reversal of 2121002102121 is 1212012001212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2121002102121 - 2⁹ = 2121002101609 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 2121002102121.

It is not an unprimeable number, because it can be changed into a prime (2121002102101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50500050030 + ... + 50500050071.

It is an arithmetic number, because the mean of its divisors is an integer number (404000400408).

Almost surely, 2^{2121002102121} is an apocalyptic number.

2121002102121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121002102121 is a deficient number, since it is larger than the sum of its proper divisors (1111001101143).

2121002102121 is a wasteful number, since it uses less digits than its factorization.

2121002102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101000100111.

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

Adding to 2121002102121 its reverse (1212012001212), we get a palindrome (3333014103333).

The spelling of 2121002102121 in words is "two trillion, one hundred twenty-one billion, two million, one hundred two thousand, one hundred twenty-one".