20112100121129 has 2 divisors, whose sum is σ = 20112100121130. Its totient is φ = 20112100121128.

The previous prime is 20112100121089. The next prime is 20112100121131. The reversal of 20112100121129 is 92112100121102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19919725775104 + 192374346025 = 4463152^2 + 438605^2 .

It is a cyclic number.

It is not a de Polignac number, because 20112100121129 - 2³² = 20107805153833 is a prime.

Together with 20112100121131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20112100121149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056050060564 + 10056050060565.

It is an arithmetic number, because the mean of its divisors is an integer number (10056050060565).

Almost surely, 2^{20112100121129} is an apocalyptic number.

It is an amenable number.

20112100121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112100121129 is an equidigital number, since it uses as much as digits as its factorization.

20112100121129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 20112100121129 in words is "twenty trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-nine".