1011000106001 has 2 divisors, whose sum is σ = 1011000106002. Its totient is φ = 1011000106000.

The previous prime is 1011000105979. The next prime is 1011000106069. The reversal of 1011000106001 is 1006010001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980002982401 + 30997123600 = 989951^2 + 176060^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1009010001101 and 1011000109001.

It is a cyclic number.

It is not a de Polignac number, because 1011000106001 - 2¹⁰ = 1011000104977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011000109001) 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, 505500053000 + 505500053001.

It is an arithmetic number, because the mean of its divisors is an integer number (505500053001).

Almost surely, 2^{1011000106001} is an apocalyptic number.

It is an amenable number.

1011000106001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011000106001 is an equidigital number, since it uses as much as digits as its factorization.

1011000106001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1011000106001 its reverse (1006010001101), we get a palindrome (2017010107102).

The spelling of 1011000106001 in words is "one trillion, eleven billion, one hundred six thousand, one".