20112100121149 has 2 divisors, whose sum is σ = 20112100121150. Its totient is φ = 20112100121148.

The previous prime is 20112100121147. The next prime is 20112100121167. The reversal of 20112100121149 is 94112100121102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19644237281124 + 467862840025 = 4432182^2 + 684005^2 .

It is a cyclic number.

It is not a de Polignac number, because 20112100121149 - 2¹ = 20112100121147 is a prime.

Together with 20112100121147, 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 (20112100121147) 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, 10056050060574 + 10056050060575.

It is an arithmetic number, because the mean of its divisors is an integer number (10056050060575).

Almost surely, 2^{20112100121149} is an apocalyptic number.

It is an amenable number.

20112100121149 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112100121149 is an equidigital number, since it uses as much as digits as its factorization.

20112100121149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 20112100121149 in words is "twenty trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, one hundred forty-nine".