10310322201120 has 72 divisors (see below), whose sum is σ = 35183974516236. Its totient is φ = 2749419253248.

The previous prime is 10310322201103. The next prime is 10310322201149. The reversal of 10310322201120 is 2110222301301.

10310322201120 is a `hidden beast` number, since 1 + 0 + 310 + 32 + 2 + 201 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9982996329744 + 327325871376 = 3159588^2 + 572124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×10310322201120³ (a number of 40 digits) contains 333 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 = 10310322201093 and 10310322201102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3579971547 + ... + 3579974426.

Almost surely, 2^{10310322201120} is an apocalyptic number.

10310322201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310322201120 is an abundant number, since it is smaller than the sum of its proper divisors (24873652315116).

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

10310322201120 is a wasteful number, since it uses less digits than its factorization.

10310322201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159945994 (or 7159945983 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10310322201120 its reverse (2110222301301), we get a palindrome (12420544502421).

The spelling of 10310322201120 in words is "ten trillion, three hundred ten billion, three hundred twenty-two million, two hundred one thousand, one hundred twenty".