10201133310120 has 48 divisors (see below), whose sum is σ = 33153683259060. Its totient is φ = 2720302215936.

The previous prime is 10201133310113. The next prime is 10201133310131. The reversal of 10201133310120 is 2101333110201.

10201133310120 is a `hidden beast` number, since 1 + 0 + 201 + 1 + 33 + 310 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9184863667716 + 1016269642404 = 3030654^2 + 1008102^2 .

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 = 10201133310093 and 10201133310102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14168240349 + ... + 14168241068.

Almost surely, 2^{10201133310120} is an apocalyptic number.

10201133310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201133310120 is an abundant number, since it is smaller than the sum of its proper divisors (22952549948940).

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

10201133310120 is a wasteful number, since it uses less digits than its factorization.

10201133310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336481434 (or 28336481427 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10201133310120 its reverse (2101333110201), we get a palindrome (12302466420321).

The spelling of 10201133310120 in words is "ten trillion, two hundred one billion, one hundred thirty-three million, three hundred ten thousand, one hundred twenty".