1011031121001 has 16 divisors (see below), whose sum is σ = 1475289109440. Its totient is φ = 610788472320.

The previous prime is 1011031120963. The next prime is 1011031121047. The reversal of 1011031121001 is 1001211301101.

It is not a de Polignac number, because 1011031121001 - 2¹⁰ = 1011031119977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011031121071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48931056 + ... + 48951713.

It is an arithmetic number, because the mean of its divisors is an integer number (92205569340).

Almost surely, 2^{1011031121001} is an apocalyptic number.

1011031121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011031121001 is a deficient number, since it is larger than the sum of its proper divisors (464257988439).

1011031121001 is a wasteful number, since it uses less digits than its factorization.

1011031121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97883096.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1011031121001 its reverse (1001211301101), we get a palindrome (2012242422102).

The spelling of 1011031121001 in words is "one trillion, eleven billion, thirty-one million, one hundred twenty-one thousand, one".