214010100020321 has 32 divisors (see below), whose sum is σ = 240178787573760. Its totient is φ = 189000838364800.

The previous prime is 214010100020273. The next prime is 214010100020341. The reversal of 214010100020321 is 123020001010412.

214010100020321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214010100020321 - 2¹⁰ = 214010100019297 is a prime.

It is a super-2 number, since 2×214010100020321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214010100020321.

It is not an unprimeable number, because it can be changed into a prime (214010100020341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567507166 + ... + 1567643688.

It is an arithmetic number, because the mean of its divisors is an integer number (7505587111680).

Almost surely, 2^{214010100020321} is an apocalyptic number.

It is an amenable number.

214010100020321 is a deficient number, since it is larger than the sum of its proper divisors (26168687553439).

214010100020321 is a wasteful number, since it uses less digits than its factorization.

214010100020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151357.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 214010100020321 its reverse (123020001010412), we get a palindrome (337030101030733).

Subtracting from 214010100020321 its reverse (123020001010412), we obtain a palindrome (90990099009909).

The spelling of 214010100020321 in words is "two hundred fourteen trillion, ten billion, one hundred million, twenty thousand, three hundred twenty-one".