120222112002101 has 2 divisors, whose sum is σ = 120222112002102. Its totient is φ = 120222112002100.

The previous prime is 120222112002089. The next prime is 120222112002103. The reversal of 120222112002101 is 101200211222021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73957832815876 + 46264279186225 = 8599874^2 + 6801785^2 .

It is a cyclic number.

It is not a de Polignac number, because 120222112002101 - 2³⁴ = 120204932132917 is a prime.

It is a super-3 number, since 3×120222112002101³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 120222112002103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120222112002101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120222112002103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60111056001050 + 60111056001051.

It is an arithmetic number, because the mean of its divisors is an integer number (60111056001051).

Almost surely, 2^{120222112002101} is an apocalyptic number.

It is an amenable number.

120222112002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

120222112002101 is an equidigital number, since it uses as much as digits as its factorization.

120222112002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120222112002101 its reverse (101200211222021), we get a palindrome (221422323224122).

The spelling of 120222112002101 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred twelve million, two thousand, one hundred one".