101000001011001 has 16 divisors (see below), whose sum is σ = 134765046718848. Its totient is φ = 67284153728000.

The previous prime is 101000001010991. The next prime is 101000001011017. The reversal of 101000001011001 is 100110100000101.

It is a cyclic number.

It is not a de Polignac number, because 101000001011001 - 2¹⁹ = 101000000486713 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101000001011051) 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, 43615051 + ... + 45872351.

It is an arithmetic number, because the mean of its divisors is an integer number (8422815419928).

Almost surely, 2^{101000001011001} is an apocalyptic number.

It is an amenable number.

101000001011001 is a deficient number, since it is larger than the sum of its proper divisors (33765045707847).

101000001011001 is a wasteful number, since it uses less digits than its factorization.

101000001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268192.

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

Adding to 101000001011001 its reverse (100110100000101), we get a palindrome (201110101011102).

It can be divided in two parts, 10100000101 and 1001, that multiplied together give a palindrome (10110100101101).

The spelling of 101000001011001 in words is "one hundred one trillion, one million, eleven thousand, one".