101000011001041 has 2 divisors, whose sum is σ = 101000011001042. Its totient is φ = 101000011001040.

The previous prime is 101000011001033. The next prime is 101000011001047. The reversal of 101000011001041 is 140100110000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86326323110416 + 14673687890625 = 9291196^2 + 3830625^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000011001041 - 2³ = 101000011001033 is a prime.

It is a super-3 number, since 3×101000011001041³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101000011001047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005500520 + 50500005500521.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005500521).

Almost surely, 2^{101000011001041} is an apocalyptic number.

It is an amenable number.

101000011001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000011001041 is an equidigital number, since it uses as much as digits as its factorization.

101000011001041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000011001041 its reverse (140100110000101), we get a palindrome (241100121001142).

The spelling of 101000011001041 in words is "one hundred one trillion, eleven million, one thousand, forty-one".