120201031331201 has 16 divisors (see below), whose sum is σ = 121508304536016. Its totient is φ = 118896096000000.

The previous prime is 120201031331113. The next prime is 120201031331221. The reversal of 120201031331201 is 102133130102021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3576159601 + 120197455171600 = 59801^2 + 10963460^2 .

It is a cyclic number.

It is not a de Polignac number, because 120201031331201 - 2¹⁴ = 120201031314817 is a prime.

It is a super-2 number, since 2×120201031331201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120201031331221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610365851 + ... + 610562751.

It is an arithmetic number, because the mean of its divisors is an integer number (7594269033501).

Almost surely, 2^{120201031331201} is an apocalyptic number.

It is an amenable number.

120201031331201 is a deficient number, since it is larger than the sum of its proper divisors (1307273204815).

120201031331201 is a wasteful number, since it uses less digits than its factorization.

120201031331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202804.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 120201031331201 its reverse (102133130102021), we get a palindrome (222334161433222).

The spelling of 120201031331201 in words is "one hundred twenty trillion, two hundred one billion, thirty-one million, three hundred thirty-one thousand, two hundred one".