2121211001360 has 80 divisors (see below), whose sum is σ = 5389719946560. Its totient is φ = 769979205120.

The previous prime is 2121211001353. The next prime is 2121211001369. The reversal of 2121211001360 is 631001121212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2121211001360³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2121211001369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645295 + ... + 2636174.

It is an arithmetic number, because the mean of its divisors is an integer number (67371499332).

Almost surely, 2^{2121211001360} is an apocalyptic number.

2121211001360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121211001360 is an abundant number, since it is smaller than the sum of its proper divisors (3268508945200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121211001360 is a wasteful number, since it uses less digits than its factorization.

2121211001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282056 (or 4282050 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2121211001360 its reverse (631001121212), we get a palindrome (2752212122572).

The spelling of 2121211001360 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, one thousand, three hundred sixty".