2110101000041 has 2 divisors, whose sum is σ = 2110101000042. Its totient is φ = 2110101000040.

The previous prime is 2110101000037. The next prime is 2110101000067. The reversal of 2110101000041 is 1400001010112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2088325570816 + 21775429225 = 1445104^2 + 147565^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110101000041 - 2² = 2110101000037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2110100999986 and 2110101000031.

It is not a weakly prime, because it can be changed into another prime (2110101000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055050500020 + 1055050500021.

It is an arithmetic number, because the mean of its divisors is an integer number (1055050500021).

Almost surely, 2^{2110101000041} is an apocalyptic number.

It is an amenable number.

2110101000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110101000041 is an equidigital number, since it uses as much as digits as its factorization.

2110101000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2110101000041 its reverse (1400001010112), we get a palindrome (3510102010153).

The spelling of 2110101000041 in words is "two trillion, one hundred ten billion, one hundred one million, forty-one", and thus it is an aban number.