252100042210321 has 8 divisors (see below), whose sum is σ = 259114109630144. Its totient is φ = 245096530199280.

The previous prime is 252100042210307. The next prime is 252100042210333. The reversal of 252100042210321 is 123012240001252.

252100042210321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 252100042210321 - 2⁹ = 252100042209809 is a prime.

It is a super-2 number, since 2×252100042210321² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252100042210361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2638803765 + ... + 2638899298.

It is an arithmetic number, because the mean of its divisors is an integer number (32389263703768).

Almost surely, 2^{252100042210321} is an apocalyptic number.

It is an amenable number.

252100042210321 is a deficient number, since it is larger than the sum of its proper divisors (7014067419823).

252100042210321 is a wasteful number, since it uses less digits than its factorization.

252100042210321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277704391.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 252100042210321 its reverse (123012240001252), we get a palindrome (375112282211573).

The spelling of 252100042210321 in words is "two hundred fifty-two trillion, one hundred billion, forty-two million, two hundred ten thousand, three hundred twenty-one".