201120213023129 has 2 divisors, whose sum is σ = 201120213023130. Its totient is φ = 201120213023128.

The previous prime is 201120213023099. The next prime is 201120213023131. The reversal of 201120213023129 is 921320312021102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197916642841225 + 3203570181904 = 14068285^2 + 1789852^2 .

It is a cyclic number.

It is not a de Polignac number, because 201120213023129 - 2²⁸ = 201119944587673 is a prime.

Together with 201120213023131, 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 (201120213023329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560106511564 + 100560106511565.

It is an arithmetic number, because the mean of its divisors is an integer number (100560106511565).

Almost surely, 2^{201120213023129} is an apocalyptic number.

It is an amenable number.

201120213023129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201120213023129 is an equidigital number, since it uses as much as digits as its factorization.

201120213023129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 201120213023129 in words is "two hundred one trillion, one hundred twenty billion, two hundred thirteen million, twenty-three thousand, one hundred twenty-nine".