1011001221001 has 24 divisors (see below), whose sum is σ = 1103050426400. Its totient is φ = 924028197120.

The previous prime is 1011001220993. The next prime is 1011001221031. The reversal of 1011001221001 is 1001221001101.

It is not a de Polignac number, because 1011001221001 - 2³ = 1011001220993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011001221031) 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, 20604385 + ... + 20653393.

Almost surely, 2^{1011001221001} is an apocalyptic number.

It is an amenable number.

1011001221001 is a deficient number, since it is larger than the sum of its proper divisors (92049205399).

1011001221001 is a wasteful number, since it uses less digits than its factorization.

1011001221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50377 (or 50348 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011001221001 its reverse (1001221001101), we get a palindrome (2012222222102).

It can be divided in two parts, 101 and 1001221001, that multiplied together give a palindrome (101123321101).

The spelling of 1011001221001 in words is "one trillion, eleven billion, one million, two hundred twenty-one thousand, one".