120111001002133 has 2 divisors, whose sum is σ = 120111001002134. Its totient is φ = 120111001002132.

The previous prime is 120111001002049. The next prime is 120111001002241. The reversal of 120111001002133 is 331200100111021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89292048605809 + 30818952396324 = 9449447^2 + 5551482^2 .

It is a cyclic number.

It is not a de Polignac number, because 120111001002133 - 2³⁷ = 119973562048661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120111001062133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60055500501066 + 60055500501067.

It is an arithmetic number, because the mean of its divisors is an integer number (60055500501067).

Almost surely, 2^{120111001002133} is an apocalyptic number.

It is an amenable number.

120111001002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

120111001002133 is an equidigital number, since it uses as much as digits as its factorization.

120111001002133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 120111001002133 its reverse (331200100111021), we get a palindrome (451311101113154).

The spelling of 120111001002133 in words is "one hundred twenty trillion, one hundred eleven billion, one million, two thousand, one hundred thirty-three".