20120221120117 has 2 divisors, whose sum is σ = 20120221120118. Its totient is φ = 20120221120116.

The previous prime is 20120221120019. The next prime is 20120221120151. The reversal of 20120221120117 is 71102112202102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16910197064401 + 3210024055716 = 4112201^2 + 1791654^2 .

It is a cyclic number.

It is not a de Polignac number, because 20120221120117 - 2³¹ = 20118073636469 is a prime.

It is a super-2 number, since 2×20120221120117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20120221120157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060110560058 + 10060110560059.

It is an arithmetic number, because the mean of its divisors is an integer number (10060110560059).

Almost surely, 2^{20120221120117} is an apocalyptic number.

It is an amenable number.

20120221120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20120221120117 is an equidigital number, since it uses as much as digits as its factorization.

20120221120117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 20120221120117 its reverse (71102112202102), we get a palindrome (91222333322219).

The spelling of 20120221120117 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred seventeen".