32121302300010 has 768 divisors, whose sum is σ = 111223843061760. Its totient is φ = 6233771681280.

The previous prime is 32121302299993. The next prime is 32121302300041. The reversal of 32121302300010 is 1000320312123.

32121302300010 is a `hidden beast` number, since 32 + 1 + 21 + 302 + 300 + 0 + 10 = 666.

It is a super-2 number, since 2×32121302300010² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 3318654351 + ... + 3318664029.

It is an arithmetic number, because the mean of its divisors is an integer number (144822712320).

Almost surely, 2^{32121302300010} is an apocalyptic number.

32121302300010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32121302300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55611921530880).

32121302300010 is an abundant number, since it is smaller than the sum of its proper divisors (79102540761750).

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

32121302300010 is a wasteful number, since it uses less digits than its factorization.

32121302300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10223 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32121302300010 its reverse (1000320312123), we get a palindrome (33121622612133).

The spelling of 32121302300010 in words is "thirty-two trillion, one hundred twenty-one billion, three hundred two million, three hundred thousand, ten".