214121311001 has 8 divisors (see below), whose sum is σ = 230617425864. Its totient is φ = 197628802560.

The previous prime is 214121310989. The next prime is 214121311009. The reversal of 214121311001 is 100113121412.

It can be written as a sum of positive squares in 4 ways, for example, as 30817451401 + 183303859600 = 175549^2 + 428140^2 .

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 214121311001 - 2¹⁴ = 214121294617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214121311009) 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, 777656 + ... + 1016361.

It is an arithmetic number, because the mean of its divisors is an integer number (28827178233).

Almost surely, 2^214121311001 is an apocalyptic number.

It is an amenable number.

214121311001 is a deficient number, since it is larger than the sum of its proper divisors (16496114863).

214121311001 is a wasteful number, since it uses less digits than its factorization.

214121311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803211.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 214121311001 its reverse (100113121412), we get a palindrome (314234432413).

The spelling of 214121311001 in words is "two hundred fourteen billion, one hundred twenty-one million, three hundred eleven thousand, one".