101032200320 has 64 divisors (see below), whose sum is σ = 242151600600. Its totient is φ = 40308891648.

The previous prime is 101032200317. The next prime is 101032200331. The reversal of 101032200320 is 23002230101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40936619584 + 60095580736 = 202328^2 + 245144^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101032200295 and 101032200304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46052 + ... + 451868.

Almost surely, 2^101032200320 is an apocalyptic number.

101032200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101032200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121075800300).

101032200320 is an abundant number, since it is smaller than the sum of its proper divisors (141119400280).

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

101032200320 is an equidigital number, since it uses as much as digits as its factorization.

101032200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406225 (or 406213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101032200320 its reverse (23002230101), we get a palindrome (124034430421).

The spelling of 101032200320 in words is "one hundred one billion, thirty-two million, two hundred thousand, three hundred twenty".