1010111100001 has 8 divisors (see below), whose sum is σ = 1013601755880. Its totient is φ = 1006620738432.

The previous prime is 1010111099981. The next prime is 1010111100007. The reversal of 1010111100001 is 1000011110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 583115504400 + 426995595601 = 763620^2 + 653449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010111100001 - 2¹⁷ = 1010110968929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010111100007) 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 in 7 ways as a sum of consecutive naturals, for example, 8535805 + ... + 8653333.

It is an arithmetic number, because the mean of its divisors is an integer number (126700219485).

Almost surely, 2^{1010111100001} is an apocalyptic number.

It is an amenable number.

1010111100001 is a deficient number, since it is larger than the sum of its proper divisors (3490655879).

1010111100001 is a wasteful number, since it uses less digits than its factorization.

1010111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147155.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1010111100001 its reverse (1000011110101), we get a palindrome (2010122210102).

The spelling of 1010111100001 in words is "one trillion, ten billion, one hundred eleven million, one hundred thousand, one".