10204233420132 has 84 divisors (see below), whose sum is σ = 27497483107836. Its totient is φ = 3309481074240.

The previous prime is 10204233420089. The next prime is 10204233420133. The reversal of 10204233420132 is 23102433240201.

10204233420132 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 233 + 420 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7174983675456 + 3029249744676 = 2678616^2 + 1740474^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10204233420096 and 10204233420105.

It is not an unprimeable number, because it can be changed into a prime (10204233420133) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47181219 + ... + 47397002.

It is an arithmetic number, because the mean of its divisors is an integer number (327350989379).

Almost surely, 2^{10204233420132} is an apocalyptic number.

10204233420132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10204233420132 is an abundant number, since it is smaller than the sum of its proper divisors (17293249687704).

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

10204233420132 is an equidigital number, since it uses as much as digits as its factorization.

10204233420132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94578280 (or 94578263 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10204233420132 its reverse (23102433240201), we get a palindrome (33306666660333).

The spelling of 10204233420132 in words is "ten trillion, two hundred four billion, two hundred thirty-three million, four hundred twenty thousand, one hundred thirty-two".