101000000011001 has 64 divisors (see below), whose sum is σ = 129498256742400. Its totient is φ = 76615850336256.

The previous prime is 101000000010989. The next prime is 101000000011007. The reversal of 101000000011001 is 100110000000101.

It is not a de Polignac number, because 101000000011001 - 2¹⁰ = 101000000009977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101000000011007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225439745 + ... + 225887313.

It is an arithmetic number, because the mean of its divisors is an integer number (2023410261600).

Almost surely, 2^{101000000011001} is an apocalyptic number.

It is an amenable number.

101000000011001 is a deficient number, since it is larger than the sum of its proper divisors (28498256731399).

101000000011001 is a wasteful number, since it uses less digits than its factorization.

101000000011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448218.

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

Adding to 101000000011001 its reverse (100110000000101), we get a palindrome (201110000011102).

The spelling of 101000000011001 in words is "one hundred one trillion, eleven thousand, one".