20012121002117 has 2 divisors, whose sum is σ = 20012121002118. Its totient is φ = 20012121002116.

The previous prime is 20012121002101. The next prime is 20012121002143. The reversal of 20012121002117 is 71120012121002.

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., 19093281811396 + 918839190721 = 4369586^2 + 958561^2 .

It is a cyclic number.

It is not a de Polignac number, because 20012121002117 - 2⁴ = 20012121002101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20012121002917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10006060501058 + 10006060501059.

It is an arithmetic number, because the mean of its divisors is an integer number (10006060501059).

Almost surely, 2^{20012121002117} is an apocalyptic number.

It is an amenable number.

20012121002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20012121002117 is an equidigital number, since it uses as much as digits as its factorization.

20012121002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 20012121002117 its reverse (71120012121002), we get a palindrome (91132133123119).

The spelling of 20012121002117 in words is "twenty trillion, twelve billion, one hundred twenty-one million, two thousand, one hundred seventeen".