20011120112101 has 2 divisors, whose sum is σ = 20011120112102. Its totient is φ = 20011120112100.

The previous prime is 20011120112099. The next prime is 20011120112111. The reversal of 20011120112101 is 10121102111002.

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., 13716290009601 + 6294830102500 = 3703551^2 + 2508950^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011120112101 - 2¹ = 20011120112099 is a prime.

Together with 20011120112099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20011120112111) 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, 10005560056050 + 10005560056051.

It is an arithmetic number, because the mean of its divisors is an integer number (10005560056051).

Almost surely, 2^{20011120112101} is an apocalyptic number.

It is an amenable number.

20011120112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011120112101 is an equidigital number, since it uses as much as digits as its factorization.

20011120112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20011120112101 its reverse (10121102111002), we get a palindrome (30132222223103).

The spelling of 20011120112101 in words is "twenty trillion, eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred one".