20001101112101 has 2 divisors, whose sum is σ = 20001101112102. Its totient is φ = 20001101112100.

The previous prime is 20001101112079. The next prime is 20001101112103. The reversal of 20001101112101 is 10121110110002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13178170530625 + 6822930581476 = 3630175^2 + 2612074^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001101112101 - 2⁶ = 20001101112037 is a prime.

Together with 20001101112103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20001101112103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000550556050 + 10000550556051.

It is an arithmetic number, because the mean of its divisors is an integer number (10000550556051).

Almost surely, 2^{20001101112101} is an apocalyptic number.

It is an amenable number.

20001101112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001101112101 is an equidigital number, since it uses as much as digits as its factorization.

20001101112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 20001101112101 its reverse (10121110110002), we get a palindrome (30122211222103).

The spelling of 20001101112101 in words is "twenty trillion, one billion, one hundred one million, one hundred twelve thousand, one hundred one".