10201333020120 has 96 divisors (see below), whose sum is σ = 36168362539920. Its totient is φ = 2473050428160.

The previous prime is 10201333020119. The next prime is 10201333020121. The reversal of 10201333020120 is 2102033310201.

10201333020120 is a `hidden beast` number, since 10 + 201 + 3 + 330 + 2 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (10201333020119) and next prime (10201333020121).

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 = 10201333020093 and 10201333020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201333020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288043139 + ... + 1288051058.

Almost surely, 2^{10201333020120} is an apocalyptic number.

10201333020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201333020120 is an abundant number, since it is smaller than the sum of its proper divisors (25967029519800).

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

10201333020120 is a wasteful number, since it uses less digits than its factorization.

10201333020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576094225 (or 2576094218 counting only the distinct ones).

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

Adding to 10201333020120 its reverse (2102033310201), we get a palindrome (12303366330321).

It can be divided in two parts, 102013 and 33020120, that added together give a palindrome (33122133).

The spelling of 10201333020120 in words is "ten trillion, two hundred one billion, three hundred thirty-three million, twenty thousand, one hundred twenty".