120120000201101 has 2 divisors, whose sum is σ = 120120000201102. Its totient is φ = 120120000201100.

The previous prime is 120120000201043. The next prime is 120120000201119. The reversal of 120120000201101 is 101102000021021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114199786144900 + 5920214056201 = 10686430^2 + 2433149^2 .

It is a cyclic number.

It is not a de Polignac number, because 120120000201101 - 2¹⁸ = 120119999938957 is a prime.

It is a super-2 number, since 2×120120000201101² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120120000201401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60060000100550 + 60060000100551.

It is an arithmetic number, because the mean of its divisors is an integer number (60060000100551).

Almost surely, 2^{120120000201101} is an apocalyptic number.

It is an amenable number.

120120000201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

120120000201101 is an equidigital number, since it uses as much as digits as its factorization.

120120000201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120120000201101 its reverse (101102000021021), we get a palindrome (221222000222122).

The spelling of 120120000201101 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred one thousand, one hundred one".