101200210212041 has 2 divisors, whose sum is σ = 101200210212042. Its totient is φ = 101200210212040.

The previous prime is 101200210211999. The next prime is 101200210212043. The reversal of 101200210212041 is 140212012002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93934786464016 + 7265423748025 = 9691996^2 + 2695445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101200210212041 is a prime.

It is a super-2 number, since 2×101200210212041² (a number of 29 digits) contains 22 as substring.

Together with 101200210212043, 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 (101200210212043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600105106020 + 50600105106021.

It is an arithmetic number, because the mean of its divisors is an integer number (50600105106021).

Almost surely, 2^{101200210212041} is an apocalyptic number.

It is an amenable number.

101200210212041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200210212041 is an equidigital number, since it uses as much as digits as its factorization.

101200210212041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101200210212041 its reverse (140212012002101), we get a palindrome (241412222214142).

The spelling of 101200210212041 in words is "one hundred one trillion, two hundred billion, two hundred ten million, two hundred twelve thousand, forty-one".