1201010012001 has 24 divisors (see below), whose sum is σ = 1736783848800. Its totient is φ = 799754446656.

The previous prime is 1201010011991. The next prime is 1201010012047. The reversal of 1201010012001 is 1002100101021.

It is a happy number.

It is not a de Polignac number, because 1201010012001 - 2⁵ = 1201010011969 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1201010012051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68750070 + ... + 68767536.

It is an arithmetic number, because the mean of its divisors is an integer number (72365993700).

Almost surely, 2^{1201010012001} is an apocalyptic number.

It is an amenable number.

1201010012001 is a deficient number, since it is larger than the sum of its proper divisors (535773836799).

1201010012001 is a wasteful number, since it uses less digits than its factorization.

1201010012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25805 (or 25802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1201010012001 its reverse (1002100101021), we get a palindrome (2203110113022).

The spelling of 1201010012001 in words is "one trillion, two hundred one billion, ten million, twelve thousand, one".