201120110100029 has 2 divisors, whose sum is σ = 201120110100030. Its totient is φ = 201120110100028.

The previous prime is 201120110100011. The next prime is 201120110100031. The reversal of 201120110100029 is 920001011021102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116817835732900 + 84302274367129 = 10808230^2 + 9181627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201120110100029 is a prime.

Together with 201120110100031, 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 (201120110100059) 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, 100560055050014 + 100560055050015.

It is an arithmetic number, because the mean of its divisors is an integer number (100560055050015).

Almost surely, 2^{201120110100029} is an apocalyptic number.

It is an amenable number.

201120110100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

201120110100029 is an equidigital number, since it uses as much as digits as its factorization.

201120110100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 201120110100029 in words is "two hundred one trillion, one hundred twenty billion, one hundred ten million, one hundred thousand, twenty-nine".