1011100001 has 4 divisors (see below), whose sum is σ = 1011395604. Its totient is φ = 1010804400.

The previous prime is 1011099989. The next prime is 1011100003. The reversal of 1011100001 is 1000011101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1000011101 = 1381 ⋅724121.

It can be written as a sum of positive squares in 2 ways, for example, as 398042401 + 613057600 = 19951^2 + 24760^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011100001 - 2¹⁴ = 1011083617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011100003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142610 + ... + 149531.

It is an arithmetic number, because the mean of its divisors is an integer number (252848901).

Almost surely, 2^1011100001 is an apocalyptic number.

It is an amenable number.

1011100001 is a deficient number, since it is larger than the sum of its proper divisors (295603).

1011100001 is an equidigital number, since it uses as much as digits as its factorization.

1011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295602.

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

The square root of 1011100001 is about 31797.7986816698. The cubic root of 1011100001 is about 1003.6863941329.

Adding to 1011100001 its reverse (1000011101), we get a palindrome (2011111102).

Subtracting from 1011100001 its reverse (1000011101), we obtain a square (11088900 = 3330²).

The spelling of 1011100001 in words is "one billion, eleven million, one hundred thousand, one".