10301320100 has 36 divisors (see below), whose sum is σ = 22720334868. Its totient is φ = 4052976000.

The previous prime is 10301320091. The next prime is 10301320111. The reversal of 10301320100 is 102310301.

It can be written as a sum of positive squares in 6 ways, for example, as 531579136 + 9769740964 = 23056^2 + 98842^2 .

It is a super-2 number, since 2×10301320100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 838271 + ... + 850470.

It is an arithmetic number, because the mean of its divisors is an integer number (631120413).

Almost surely, 2^10301320100 is an apocalyptic number.

10301320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301320100 is an abundant number, since it is smaller than the sum of its proper divisors (12419014768).

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

10301320100 is a wasteful number, since it uses less digits than its factorization.

10301320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688816 (or 1688809 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10301320100 its reverse (102310301), we get a palindrome (10403630401).

The spelling of 10301320100 in words is "ten billion, three hundred one million, three hundred twenty thousand, one hundred".