120022122100061 has 2 divisors, whose sum is σ = 120022122100062. Its totient is φ = 120022122100060.

The previous prime is 120022122099989. The next prime is 120022122100087. The reversal of 120022122100061 is 160001221220021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105970944819961 + 14051177280100 = 10294219^2 + 3748490^2 .

It is an emirp because it is prime and its reverse (160001221220021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120022122100061 - 2⁴⁶ = 49653377922397 is a prime.

It is a super-2 number, since 2×120022122100061² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120022122109061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60011061050030 + 60011061050031.

It is an arithmetic number, because the mean of its divisors is an integer number (60011061050031).

Almost surely, 2^{120022122100061} is an apocalyptic number.

It is an amenable number.

120022122100061 is a deficient number, since it is larger than the sum of its proper divisors (1).

120022122100061 is an equidigital number, since it uses as much as digits as its factorization.

120022122100061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 120022122100061 its reverse (160001221220021), we get a palindrome (280023343320082).

The spelling of 120022122100061 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-two million, one hundred thousand, sixty-one".