1001110101201 has 24 divisors (see below), whose sum is σ = 1655376055424. Its totient is φ = 571111041600.

The previous prime is 1001110101179. The next prime is 1001110101259. The reversal of 1001110101201 is 1021010111001.

It is not a de Polignac number, because 1001110101201 - 2¹⁴ = 1001110084817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001110105201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13182301 + ... + 13258026.

Almost surely, 2^{1001110101201} is an apocalyptic number.

It is an amenable number.

1001110101201 is a deficient number, since it is larger than the sum of its proper divisors (654265954223).

1001110101201 is a wasteful number, since it uses less digits than its factorization.

1001110101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26440941 (or 26440938 counting only the distinct ones).

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

Adding to 1001110101201 its reverse (1021010111001), we get a palindrome (2022120212202).

The spelling of 1001110101201 in words is "one trillion, one billion, one hundred ten million, one hundred one thousand, two hundred one".