2121101101121 has 8 divisors (see below), whose sum is σ = 2232771598080. Its totient is φ = 2009433963888.

The previous prime is 2121101101109. The next prime is 2121101101181. The reversal of 2121101101121 is 1211011011212.

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

It is a cyclic number.

It is not a de Polignac number, because 2121101101121 - 2¹⁸ = 2121100838977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121101101096 and 2121101101105.

It is not an unprimeable number, because it can be changed into a prime (2121101101181) 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, 511760 + ... + 2122286.

It is an arithmetic number, because the mean of its divisors is an integer number (279096449760).

Almost surely, 2^{2121101101121} is an apocalyptic number.

It is an amenable number.

2121101101121 is a deficient number, since it is larger than the sum of its proper divisors (111670496959).

2121101101121 is a wasteful number, since it uses less digits than its factorization.

2121101101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679863.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2121101101121 its reverse (1211011011212), we get a palindrome (3332112112333).

It can be divided in two parts, 2121101 and 101121, that added together give a palindrome (2222222).

The spelling of 2121101101121 in words is "two trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand, one hundred twenty-one".