1011101010001 has 16 divisors (see below), whose sum is σ = 1050602400000. Its totient is φ = 971910706816.

The previous prime is 1011101009999. The next prime is 1011101010013. The reversal of 1011101010001 is 1000101011101.

It is a happy number.

It is not a de Polignac number, because 1011101010001 - 2¹ = 1011101009999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011101010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32206530 + ... + 32237908.

It is an arithmetic number, because the mean of its divisors is an integer number (65662650000).

Almost surely, 2^{1011101010001} is an apocalyptic number.

It is an amenable number.

1011101010001 is a deficient number, since it is larger than the sum of its proper divisors (39501389999).

1011101010001 is a wasteful number, since it uses less digits than its factorization.

1011101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36296.

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

Adding to 1011101010001 its reverse (1000101011101), we get a palindrome (2011202021102).

It can be divided in two parts, 101110 and 1010001, that added together give a palindrome (1111111).

The spelling of 1011101010001 in words is "one trillion, eleven billion, one hundred one million, ten thousand, one".