1001101022021 has 8 divisors (see below), whose sum is σ = 1070917044120. Its totient is φ = 932499191808.

The previous prime is 1001101022003. The next prime is 1001101022041. The reversal of 1001101022021 is 1202201011001.

It can be written as a sum of positive squares in 4 ways, for example, as 94549485121 + 906551536900 = 307489^2 + 952130^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001101022021 - 2⁶ = 1001101021957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001101021993 and 1001101022011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101022041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303546266 + ... + 303549563.

It is an arithmetic number, because the mean of its divisors is an integer number (133864630515).

Almost surely, 2^{1001101022021} is an apocalyptic number.

It is an amenable number.

1001101022021 is a deficient number, since it is larger than the sum of its proper divisors (69816022099).

1001101022021 is an equidigital number, since it uses as much as digits as its factorization.

1001101022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607095943.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001101022021 its reverse (1202201011001), we get a palindrome (2203302033022).

The spelling of 1001101022021 in words is "one trillion, one billion, one hundred one million, twenty-two thousand, twenty-one".