2121972318401 has 8 divisors (see below), whose sum is σ = 2312733501120. Its totient is φ = 1935144356112.

The previous prime is 2121972318371. The next prime is 2121972318413. The reversal of 2121972318401 is 1048132791212.

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 2121972318401 - 2¹⁴ = 2121972302017 is a prime.

It is a super-2 number, since 2×2121972318401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121972318601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983303981 + ... + 983306138.

It is an arithmetic number, because the mean of its divisors is an integer number (289091687640).

Almost surely, 2^{2121972318401} is an apocalyptic number.

It is an amenable number.

2121972318401 is a deficient number, since it is larger than the sum of its proper divisors (190761182719).

2121972318401 is a wasteful number, since it uses less digits than its factorization.

2121972318401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966610215.

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 2121972318401 in words is "two trillion, one hundred twenty-one billion, nine hundred seventy-two million, three hundred eighteen thousand, four hundred one".