32101232102304 has 96 divisors (see below), whose sum is σ = 86387873423040. Its totient is φ = 10431337113600.

The previous prime is 32101232102267. The next prime is 32101232102341. The reversal of 32101232102304 is 40320123210123.

32101232102304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (32101232102267) and next prime (32101232102341).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×32101232102304⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1922662 + ... + 8240090.

It is an arithmetic number, because the mean of its divisors is an integer number (899873681490).

Almost surely, 2^{32101232102304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32101232102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43193936711520).

32101232102304 is an abundant number, since it is smaller than the sum of its proper divisors (54286641320736).

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

32101232102304 is a wasteful number, since it uses less digits than its factorization.

32101232102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318774 (or 6318766 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32101232102304 its reverse (40320123210123), we get a palindrome (72421355312427).

The spelling of 32101232102304 in words is "thirty-two trillion, one hundred one billion, two hundred thirty-two million, one hundred two thousand, three hundred four".