101120012102041 has 2 divisors, whose sum is σ = 101120012102042. Its totient is φ = 101120012102040.

The previous prime is 101120012102023. The next prime is 101120012102063. The reversal of 101120012102041 is 140201210021101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100010000250000 + 1110011852041 = 10000500^2 + 1053571^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120012102041 - 2³³ = 101111422167449 is a prime.

It is not a weakly prime, because it can be changed into another prime (101120012102141) 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, 50560006051020 + 50560006051021.

It is an arithmetic number, because the mean of its divisors is an integer number (50560006051021).

Almost surely, 2^{101120012102041} is an apocalyptic number.

It is an amenable number.

101120012102041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120012102041 is an equidigital number, since it uses as much as digits as its factorization.

101120012102041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101120012102041 its reverse (140201210021101), we get a palindrome (241321222123142).

The spelling of 101120012102041 in words is "one hundred one trillion, one hundred twenty billion, twelve million, one hundred two thousand, forty-one".