201011300003120 has 40 divisors (see below), whose sum is σ = 471978512848080. Its totient is φ = 79608435641600.

The previous prime is 201011300003117. The next prime is 201011300003123. The reversal of 201011300003120 is 21300003110102.

201011300003120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201011300003117) and next prime (201011300003123).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 201011300003095 and 201011300003104.

It is not an unprimeable number, because it can be changed into a prime (201011300003123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12438809990 + ... + 12438826149.

It is an arithmetic number, because the mean of its divisors is an integer number (11799462821202).

Almost surely, 2^{201011300003120} is an apocalyptic number.

201011300003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011300003120 is an abundant number, since it is smaller than the sum of its proper divisors (270967212844960).

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

201011300003120 is a wasteful number, since it uses less digits than its factorization.

201011300003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24877636253 (or 24877636247 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 201011300003120 its reverse (21300003110102), we get a palindrome (222311303113222).

The spelling of 201011300003120 in words is "two hundred one trillion, eleven billion, three hundred million, three thousand, one hundred twenty".