102011100041 has 2 divisors, whose sum is σ = 102011100042. Its totient is φ = 102011100040.

The previous prime is 102011100011. The next prime is 102011100053. The reversal of 102011100041 is 140001110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79413494416 + 22597605625 = 281804^2 + 150325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102011100041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102011099995 and 102011100031.

It is not a weakly prime, because it can be changed into another prime (102011100011) 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, 51005550020 + 51005550021.

It is an arithmetic number, because the mean of its divisors is an integer number (51005550021).

Almost surely, 2^102011100041 is an apocalyptic number.

It is an amenable number.

102011100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011100041 is an equidigital number, since it uses as much as digits as its factorization.

102011100041 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 102011100041 its reverse (140001110201), we get a palindrome (242012210242).

The spelling of 102011100041 in words is "one hundred two billion, eleven million, one hundred thousand, forty-one".