2121120212001 has 8 divisors (see below), whose sum is σ = 3232183180224. Its totient is φ = 1212068692560.

The previous prime is 2121120211993. The next prime is 2121120212017. The reversal of 2121120212001 is 1002120211212.

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

It is not a de Polignac number, because 2121120212001 - 2³ = 2121120211993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121120212041) 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 7 ways as a sum of consecutive naturals, for example, 50502862170 + ... + 50502862211.

It is an arithmetic number, because the mean of its divisors is an integer number (404022897528).

Almost surely, 2^{2121120212001} is an apocalyptic number.

2121120212001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121120212001 is a deficient number, since it is larger than the sum of its proper divisors (1111062968223).

2121120212001 is a wasteful number, since it uses less digits than its factorization.

2121120212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101005724391.

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

Adding to 2121120212001 its reverse (1002120211212), we get a palindrome (3123240423213).

The spelling of 2121120212001 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand, one".