2121101012121 has 32 divisors (see below), whose sum is σ = 3511584572160. Its totient is φ = 1108921411584.

The previous prime is 2121101012113. The next prime is 2121101012183. The reversal of 2121101012121 is 1212101011212.

It is a happy number.

It is not a de Polignac number, because 2121101012121 - 2³ = 2121101012113 is a prime.

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 2121101012121.

It is not an unprimeable number, because it can be changed into a prime (2121101010121) 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, 34347916 + ... + 34409613.

It is an arithmetic number, because the mean of its divisors is an integer number (109737017880).

Almost surely, 2^{2121101012121} is an apocalyptic number.

2121101012121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121101012121 is a deficient number, since it is larger than the sum of its proper divisors (1390483560039).

2121101012121 is a wasteful number, since it uses less digits than its factorization.

2121101012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68757665.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121101012121 its reverse (1212101011212), we get a palindrome (3333202023333).

Subtracting from 2121101012121 its reverse (1212101011212), we obtain a palindrome (909000000909).

The spelling of 2121101012121 in words is "two trillion, one hundred twenty-one billion, one hundred one million, twelve thousand, one hundred twenty-one".