1011112131201 has 16 divisors (see below), whose sum is σ = 1351205274048. Its totient is φ = 672547104000.

The previous prime is 1011112131157. The next prime is 1011112131241. The reversal of 1011112131201 is 1021312111101.

It is not a de Polignac number, because 1011112131201 - 2²⁵ = 1011078576769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011112131241) 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 15 ways as a sum of consecutive naturals, for example, 26140726 + ... + 26179376.

It is an arithmetic number, because the mean of its divisors is an integer number (84450329628).

Almost surely, 2^{1011112131201} is an apocalyptic number.

It is an amenable number.

1011112131201 is a deficient number, since it is larger than the sum of its proper divisors (340093142847).

1011112131201 is a wasteful number, since it uses less digits than its factorization.

1011112131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58192.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1011112131201 its reverse (1021312111101), we get a palindrome (2032424242302).

The spelling of 1011112131201 in words is "one trillion, eleven billion, one hundred twelve million, one hundred thirty-one thousand, two hundred one".