1011000100001 has 16 divisors (see below), whose sum is σ = 1111429539840. Its totient is φ = 915363717840.

The previous prime is 1011000099997. The next prime is 1011000100013. The reversal of 1011000100001 is 1000010001101.

It is a cyclic number.

It is not a de Polignac number, because 1011000100001 - 2² = 1011000099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011000106001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476105 + ... + 1499558.

It is an arithmetic number, because the mean of its divisors is an integer number (69464346240).

Almost surely, 2^{1011000100001} is an apocalyptic number.

It is an amenable number.

1011000100001 is a deficient number, since it is larger than the sum of its proper divisors (100429439839).

1011000100001 is a wasteful number, since it uses less digits than its factorization.

1011000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976876.

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

Adding to 1011000100001 its reverse (1000010001101), we get a palindrome (2011010101102).

It can be divided in two parts, 10 and 11000100001, that added together give a palindrome (11000100011).

The spelling of 1011000100001 in words is "one trillion, eleven billion, one hundred thousand, one".