10301300223120 has 120 divisors (see below), whose sum is σ = 34612739002296. Its totient is φ = 2745620711424.

The previous prime is 10301300223113. The next prime is 10301300223121. The reversal of 10301300223120 is 2132200310301.

10301300223120 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 300 + 22 + 312 + 0 = 666.

10301300223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1955880566784 + 8345419656336 = 1398528^2 + 2888844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10301300223120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10301300223093 and 10301300223102.

It is not an unprimeable number, because it can be changed into a prime (10301300223121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205229 + ... + 5046348.

Almost surely, 2^{10301300223120} is an apocalyptic number.

10301300223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301300223120 is an abundant number, since it is smaller than the sum of its proper divisors (24311438779176).

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

10301300223120 is a wasteful number, since it uses less digits than its factorization.

10301300223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253569 (or 7253560 counting only the distinct ones).

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

Adding to 10301300223120 its reverse (2132200310301), we get a palindrome (12433500533421).

The spelling of 10301300223120 in words is "ten trillion, three hundred one billion, three hundred million, two hundred twenty-three thousand, one hundred twenty".