101011001100041 has 2 divisors, whose sum is σ = 101011001100042. Its totient is φ = 101011001100040.

The previous prime is 101011001099977. The next prime is 101011001100169. The reversal of 101011001100041 is 140001100110101.

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., 72629852959225 + 28381148140816 = 8522315^2 + 5327396^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011001100041 - 2⁶ = 101011001099977 is a prime.

It is a super-2 number, since 2×101011001100041² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101011001099995 and 101011001100031.

It is not a weakly prime, because it can be changed into another prime (101011001120041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500550020 + 50505500550021.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500550021).

Almost surely, 2^{101011001100041} is an apocalyptic number.

It is an amenable number.

101011001100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001100041 is an equidigital number, since it uses as much as digits as its factorization.

101011001100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011001100041 its reverse (140001100110101), we get a palindrome (241012101210142).

The spelling of 101011001100041 in words is "one hundred one trillion, eleven billion, one million, one hundred thousand, forty-one".