210132401024 has 128 divisors (see below), whose sum is σ = 545536555200. Its totient is φ = 78239268864.

The previous prime is 210132401023. The next prime is 210132401047. The reversal of 210132401024 is 420104231012.

210132401024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×210132401024² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210132400987 and 210132401005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210132401023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332579 + ... + 728610.

Almost surely, 2^210132401024 is an apocalyptic number.

It is an amenable number.

210132401024 is an abundant number, since it is smaller than the sum of its proper divisors (335404154176).

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

210132401024 is a wasteful number, since it uses less digits than its factorization.

210132401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061240 (or 1061228 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 210132401024 its reverse (420104231012), we get a palindrome (630236632036).

The spelling of 210132401024 in words is "two hundred ten billion, one hundred thirty-two million, four hundred one thousand, twenty-four".