10101010100941 has 2 divisors, whose sum is σ = 10101010100942. Its totient is φ = 10101010100940.

The previous prime is 10101010100939. The next prime is 10101010100981. The reversal of 10101010100941 is 14900101010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9995999106025 + 105010994916 = 3161645^2 + 324054^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101010100941 - 2¹ = 10101010100939 is a prime.

It is a super-2 number, since 2×10101010100941² (a number of 27 digits) contains 22 as substring.

Together with 10101010100939, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101010100921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505050470 + 5050505050471.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505050471).

Almost surely, 2^{10101010100941} is an apocalyptic number.

It is an amenable number.

10101010100941 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101010100941 is an equidigital number, since it uses as much as digits as its factorization.

10101010100941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10101010100941 in words is "ten trillion, one hundred one billion, ten million, one hundred thousand, nine hundred forty-one".