1011001010001 has 16 divisors (see below), whose sum is σ = 1371003187200. Its totient is φ = 662502325968.

The previous prime is 1011001009969. The next prime is 1011001010021. The reversal of 1011001010001 is 1000101001101.

It is not a de Polignac number, because 1011001010001 - 2⁵ = 1011001009969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011001010021) 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, 1277160 + ... + 1911318.

It is an arithmetic number, because the mean of its divisors is an integer number (85687699200).

Almost surely, 2^{1011001010001} is an apocalyptic number.

It is an amenable number.

1011001010001 is a deficient number, since it is larger than the sum of its proper divisors (360002177199).

1011001010001 is an equidigital number, since it uses as much as digits as its factorization.

1011001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643228.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1011001010001 its reverse (1000101001101), we get a palindrome (2011102011102).

It can be divided in two parts, 10 and 11001010001, that added together give a palindrome (11001010011).

The spelling of 1011001010001 in words is "one trillion, eleven billion, one million, ten thousand, one".