20112001112117 has 2 divisors, whose sum is σ = 20112001112118. Its totient is φ = 20112001112116.

The previous prime is 20112001112081. The next prime is 20112001112239. The reversal of 20112001112117 is 71121110021102.

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., 17404574390641 + 2707426721476 = 4171879^2 + 1645426^2 .

It is a cyclic number.

It is not a de Polignac number, because 20112001112117 - 2¹⁸ = 20112000849973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20112001142117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056000556058 + 10056000556059.

It is an arithmetic number, because the mean of its divisors is an integer number (10056000556059).

Almost surely, 2^{20112001112117} is an apocalyptic number.

It is an amenable number.

20112001112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112001112117 is an equidigital number, since it uses as much as digits as its factorization.

20112001112117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 20112001112117 its reverse (71121110021102), we get a palindrome (91233111133219).

The spelling of 20112001112117 in words is "twenty trillion, one hundred twelve billion, one million, one hundred twelve thousand, one hundred seventeen".