1010110001 has 2 divisors, whose sum is σ = 1010110002. Its totient is φ = 1010110000.

The previous prime is 1010109959. The next prime is 1010110007. The reversal of 1010110001 is 1000110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 612067600 + 398042401 = 24740^2 + 19951^2 .

It is an emirp because it is prime and its reverse (1000110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010110001 - 2²² = 1005915697 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055000 + 505055001.

It is an arithmetic number, because the mean of its divisors is an integer number (505055001).

Almost surely, 2^1010110001 is an apocalyptic number.

It is an amenable number.

1010110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110001 is an equidigital number, since it uses as much as digits as its factorization.

1010110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 1010110001 is about 31782.2277538879. The cubic root of 1010110001 is about 1003.3587067923.

Adding to 1010110001 its reverse (1000110101), we get a palindrome (2010220102).

It can be divided in two parts, 10101 and 10001, that multiplied together give a palindrome (101020101).

The spelling of 1010110001 in words is "one billion, ten million, one hundred ten thousand, one".