32101254020 has 144 divisors (see below), whose sum is σ = 80581178160. Its totient is φ = 10689085440.

The previous prime is 32101254001. The next prime is 32101254043. The reversal of 32101254020 is 2045210123.

It can be written as a sum of positive squares in 8 ways, for example, as 11507281984 + 20593972036 = 107272^2 + 143506^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32101253983 and 32101254001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1511636 + ... + 1532724.

It is an arithmetic number, because the mean of its divisors is an integer number (559591515).

Almost surely, 2^32101254020 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 32101254020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40290589080).

32101254020 is an abundant number, since it is smaller than the sum of its proper divisors (48479924140).

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

32101254020 is a wasteful number, since it uses less digits than its factorization.

32101254020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21174 (or 21161 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 32101254020 its reverse (2045210123), we get a palindrome (34146464143).

The spelling of 32101254020 in words is "thirty-two billion, one hundred one million, two hundred fifty-four thousand, twenty".