1001101110201 has 6 divisors (see below), whose sum is σ = 1446034936970. Its totient is φ = 667400740128.

The previous prime is 1001101110167. The next prime is 1001101110283. The reversal of 1001101110201 is 1020111011001.

It can be written as a sum of positive squares in only one way, i.e., 632463916176 + 368637194025 = 795276^2 + 607155^2 .

It is not a de Polignac number, because 1001101110201 - 2⁶ = 1001101110137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111233456689 = 1001101110201 / (1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 1 + 0 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001101117201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55616728336 + ... + 55616728353.

Almost surely, 2^{1001101110201} is an apocalyptic number.

It is an amenable number.

1001101110201 is a deficient number, since it is larger than the sum of its proper divisors (444933826769).

1001101110201 is a wasteful number, since it uses less digits than its factorization.

1001101110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111233456695 (or 111233456692 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001101110201 its reverse (1020111011001), we get a palindrome (2021212121202).

The spelling of 1001101110201 in words is "one trillion, one billion, one hundred one million, one hundred ten thousand, two hundred one".